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Finding the Fourth Proportional to 153,644.60, 230,414.10 and 74,707.96

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Solution

The fourth proportional to 153,644.60, 230,414.10 and 74,707.96 is: 112,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,644.60 : 230,414.10 = 74,707.96 : x
  2. Step 2: Convert to fraction form
    153,644.60/230,414.10 = 74,707.96/x
  3. Step 3: Cross multiply
    153,644.60x = 230,414.10 × 74,707.96
  4. Step 4: Simplify right side
    153,644.60x = 17,213,767,366.24
  5. Step 5: Solve for x
    x = 17,213,767,366.24/153,644.60
  6. Step 6: Final answer
    x = 112,036.27

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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.