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Finding the Fourth Proportional to 97,308.92, 134,287.80 and 57,013.04

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Solution

The fourth proportional to 97,308.92, 134,287.80 and 57,013.04 is: 78,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308.92 : 134,287.80 = 57,013.04 : x
  2. Step 2: Convert to fraction form
    97,308.92/134,287.80 = 57,013.04/x
  3. Step 3: Cross multiply
    97,308.92x = 134,287.80 × 57,013.04
  4. Step 4: Simplify right side
    97,308.92x = 7,656,155,712.91
  5. Step 5: Solve for x
    x = 7,656,155,712.91/97,308.92
  6. Step 6: Final answer
    x = 78,678.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.