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Finding the Fourth Proportional to 137,098, 205,570.59 and 42,301.27

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Solution

The fourth proportional to 137,098, 205,570.59 and 42,301.27 is: 63,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098 : 205,570.59 = 42,301.27 : x
  2. Step 2: Convert to fraction form
    137,098/205,570.59 = 42,301.27/x
  3. Step 3: Cross multiply
    137,098x = 205,570.59 × 42,301.27
  4. Step 4: Simplify right side
    137,098x = 8,695,897,031.65
  5. Step 5: Solve for x
    x = 8,695,897,031.65/137,098
  6. Step 6: Final answer
    x = 63,428.33

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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.