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Finding the Fourth Proportional to 377,195.72, 566,063.82 and 137,309.12

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Solution

The fourth proportional to 377,195.72, 566,063.82 and 137,309.12 is: 206,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,195.72 : 566,063.82 = 137,309.12 : x
  2. Step 2: Convert to fraction form
    377,195.72/566,063.82 = 137,309.12/x
  3. Step 3: Cross multiply
    377,195.72x = 566,063.82 × 137,309.12
  4. Step 4: Simplify right side
    377,195.72x = 77,725,724,988.04
  5. Step 5: Solve for x
    x = 77,725,724,988.04/377,195.72
  6. Step 6: Final answer
    x = 206,062.05

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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.