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Finding the Fourth Proportional to 130,468.34, 195,702.65 and 35,691.50

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Solution

The fourth proportional to 130,468.34, 195,702.65 and 35,691.50 is: 53,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,468.34 : 195,702.65 = 35,691.50 : x
  2. Step 2: Convert to fraction form
    130,468.34/195,702.65 = 35,691.50/x
  3. Step 3: Cross multiply
    130,468.34x = 195,702.65 × 35,691.50
  4. Step 4: Simplify right side
    130,468.34x = 6,984,921,132.48
  5. Step 5: Solve for x
    x = 6,984,921,132.48/130,468.34
  6. Step 6: Final answer
    x = 53,537.29

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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.