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Finding the Fourth Proportional to 157,101.60, 235,393.20 and 78,045.60

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Solution

The fourth proportional to 157,101.60, 235,393.20 and 78,045.60 is: 116,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,101.60 : 235,393.20 = 78,045.60 : x
  2. Step 2: Convert to fraction form
    157,101.60/235,393.20 = 78,045.60/x
  3. Step 3: Cross multiply
    157,101.60x = 235,393.20 × 78,045.60
  4. Step 4: Simplify right side
    157,101.60x = 18,371,403,529.92
  5. Step 5: Solve for x
    x = 18,371,403,529.92/157,101.60
  6. Step 6: Final answer
    x = 116,939.63

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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.