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Finding the Fourth Proportional to 473,077.46, 709,724.86 and 136,120.91

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Solution

The fourth proportional to 473,077.46, 709,724.86 and 136,120.91 is: 204,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,077.46 : 709,724.86 = 136,120.91 : x
  2. Step 2: Convert to fraction form
    473,077.46/709,724.86 = 136,120.91/x
  3. Step 3: Cross multiply
    473,077.46x = 709,724.86 × 136,120.91
  4. Step 4: Simplify right side
    473,077.46x = 96,608,390,286.74
  5. Step 5: Solve for x
    x = 96,608,390,286.74/473,077.46
  6. Step 6: Final answer
    x = 204,212.62

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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.