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Finding the Fourth Proportional to 116,617.20, 175,055.40 and 64,129.20

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Solution

The fourth proportional to 116,617.20, 175,055.40 and 64,129.20 is: 96,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617.20 : 175,055.40 = 64,129.20 : x
  2. Step 2: Convert to fraction form
    116,617.20/175,055.40 = 64,129.20/x
  3. Step 3: Cross multiply
    116,617.20x = 175,055.40 × 64,129.20
  4. Step 4: Simplify right side
    116,617.20x = 11,226,162,757.68
  5. Step 5: Solve for x
    x = 11,226,162,757.68/116,617.20
  6. Step 6: Final answer
    x = 96,265.07

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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.