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Finding the Fourth Proportional to 103,729.60, 155,709.60 and 64,331.20

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Solution

The fourth proportional to 103,729.60, 155,709.60 and 64,331.20 is: 96,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729.60 : 155,709.60 = 64,331.20 : x
  2. Step 2: Convert to fraction form
    103,729.60/155,709.60 = 64,331.20/x
  3. Step 3: Cross multiply
    103,729.60x = 155,709.60 × 64,331.20
  4. Step 4: Simplify right side
    103,729.60x = 10,016,985,419.52
  5. Step 5: Solve for x
    x = 10,016,985,419.52/103,729.60
  6. Step 6: Final answer
    x = 96,568.24

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Why These Related Problems?

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