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Finding the Fourth Proportional to 106,428,002.40, 159,642,003.60 and 105,420,232.80

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Solution

The fourth proportional to 106,428,002.40, 159,642,003.60 and 105,420,232.80 is: 158,130,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428,002.40 : 159,642,003.60 = 105,420,232.80 : x
  2. Step 2: Convert to fraction form
    106,428,002.40/159,642,003.60 = 105,420,232.80/x
  3. Step 3: Cross multiply
    106,428,002.40x = 159,642,003.60 × 105,420,232.80
  4. Step 4: Simplify right side
    106,428,002.40x = 16,829,497,184,170,436
  5. Step 5: Solve for x
    x = 16,829,497,184,170,436/106,428,002.40
  6. Step 6: Final answer
    x = 158,130,349.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.