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Finding the Fourth Proportional to 137,132.33, 205,713.08 and 37,294.16

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Solution

The fourth proportional to 137,132.33, 205,713.08 and 37,294.16 is: 55,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.33 : 205,713.08 = 37,294.16 : x
  2. Step 2: Convert to fraction form
    137,132.33/205,713.08 = 37,294.16/x
  3. Step 3: Cross multiply
    137,132.33x = 205,713.08 × 37,294.16
  4. Step 4: Simplify right side
    137,132.33x = 7,671,896,333.14
  5. Step 5: Solve for x
    x = 7,671,896,333.14/137,132.33
  6. Step 6: Final answer
    x = 55,945.21

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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.