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Finding the Fourth Proportional to 116,854.40, 175,359.24 and 42,982.40

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Solution

The fourth proportional to 116,854.40, 175,359.24 and 42,982.40 is: 64,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,854.40 : 175,359.24 = 42,982.40 : x
  2. Step 2: Convert to fraction form
    116,854.40/175,359.24 = 42,982.40/x
  3. Step 3: Cross multiply
    116,854.40x = 175,359.24 × 42,982.40
  4. Step 4: Simplify right side
    116,854.40x = 7,537,360,997.38
  5. Step 5: Solve for x
    x = 7,537,360,997.38/116,854.40
  6. Step 6: Final answer
    x = 64,502.16

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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.