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Finding the Fourth Proportional to 136,038, 204,068.76 and 37,542

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Solution

The fourth proportional to 136,038, 204,068.76 and 37,542 is: 56,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,038 : 204,068.76 = 37,542 : x
  2. Step 2: Convert to fraction form
    136,038/204,068.76 = 37,542/x
  3. Step 3: Cross multiply
    136,038x = 204,068.76 × 37,542
  4. Step 4: Simplify right side
    136,038x = 7,661,149,387.92
  5. Step 5: Solve for x
    x = 7,661,149,387.92/136,038
  6. Step 6: Final answer
    x = 56,316.25

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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.