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Finding the Fourth Proportional to 137,742.60, 206,225.10 and 133,854.60

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Solution

The fourth proportional to 137,742.60, 206,225.10 and 133,854.60 is: 200,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,742.60 : 206,225.10 = 133,854.60 : x
  2. Step 2: Convert to fraction form
    137,742.60/206,225.10 = 133,854.60/x
  3. Step 3: Cross multiply
    137,742.60x = 206,225.10 × 133,854.60
  4. Step 4: Simplify right side
    137,742.60x = 27,604,178,270.46
  5. Step 5: Solve for x
    x = 27,604,178,270.46/137,742.60
  6. Step 6: Final answer
    x = 200,404.07

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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.