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Finding the Fourth Proportional to 153,506.43, 230,311.92 and 93,654.72

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Solution

The fourth proportional to 153,506.43, 230,311.92 and 93,654.72 is: 140,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506.43 : 230,311.92 = 93,654.72 : x
  2. Step 2: Convert to fraction form
    153,506.43/230,311.92 = 93,654.72/x
  3. Step 3: Cross multiply
    153,506.43x = 230,311.92 × 93,654.72
  4. Step 4: Simplify right side
    153,506.43x = 21,569,798,380.26
  5. Step 5: Solve for x
    x = 21,569,798,380.26/153,506.43
  6. Step 6: Final answer
    x = 140,513.97

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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.