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Finding the Fourth Proportional to 116,444.16, 174,666.24 and 77,251.68

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Solution

The fourth proportional to 116,444.16, 174,666.24 and 77,251.68 is: 115,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,444.16 : 174,666.24 = 77,251.68 : x
  2. Step 2: Convert to fraction form
    116,444.16/174,666.24 = 77,251.68/x
  3. Step 3: Cross multiply
    116,444.16x = 174,666.24 × 77,251.68
  4. Step 4: Simplify right side
    116,444.16x = 13,493,260,479.28
  5. Step 5: Solve for x
    x = 13,493,260,479.28/116,444.16
  6. Step 6: Final answer
    x = 115,877.52

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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.