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Finding the Fourth Proportional to 153,331, 229,996.50 and 42,523

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Solution

The fourth proportional to 153,331, 229,996.50 and 42,523 is: 63,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,331 : 229,996.50 = 42,523 : x
  2. Step 2: Convert to fraction form
    153,331/229,996.50 = 42,523/x
  3. Step 3: Cross multiply
    153,331x = 229,996.50 × 42,523
  4. Step 4: Simplify right side
    153,331x = 9,780,141,169.50
  5. Step 5: Solve for x
    x = 9,780,141,169.50/153,331
  6. Step 6: Final answer
    x = 63,784.50

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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.