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Finding the Fourth Proportional to 116,507.60, 174,892.80 and 77,141.60

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Solution

The fourth proportional to 116,507.60, 174,892.80 and 77,141.60 is: 115,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,507.60 : 174,892.80 = 77,141.60 : x
  2. Step 2: Convert to fraction form
    116,507.60/174,892.80 = 77,141.60/x
  3. Step 3: Cross multiply
    116,507.60x = 174,892.80 × 77,141.60
  4. Step 4: Simplify right side
    116,507.60x = 13,491,510,420.48
  5. Step 5: Solve for x
    x = 13,491,510,420.48/116,507.60
  6. Step 6: Final answer
    x = 115,799.40

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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.