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Finding the Fourth Proportional to 105,301, 145,314.18 and 57,554.20

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Solution

The fourth proportional to 105,301, 145,314.18 and 57,554.20 is: 79,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,301 : 145,314.18 = 57,554.20 : x
  2. Step 2: Convert to fraction form
    105,301/145,314.18 = 57,554.20/x
  3. Step 3: Cross multiply
    105,301x = 145,314.18 × 57,554.20
  4. Step 4: Simplify right side
    105,301x = 8,363,441,378.56
  5. Step 5: Solve for x
    x = 8,363,441,378.56/105,301
  6. Step 6: Final answer
    x = 79,424.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.