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Finding the Fourth Proportional to 157,100.20, 235,304.70 and 153,644.20

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Solution

The fourth proportional to 157,100.20, 235,304.70 and 153,644.20 is: 230,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,100.20 : 235,304.70 = 153,644.20 : x
  2. Step 2: Convert to fraction form
    157,100.20/235,304.70 = 153,644.20/x
  3. Step 3: Cross multiply
    157,100.20x = 235,304.70 × 153,644.20
  4. Step 4: Simplify right side
    157,100.20x = 36,153,202,387.74
  5. Step 5: Solve for x
    x = 36,153,202,387.74/157,100.20
  6. Step 6: Final answer
    x = 230,128.30

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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.