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Finding the Fourth Proportional to 315,051.80, 472,454.85 and 137,437.70

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Solution

The fourth proportional to 315,051.80, 472,454.85 and 137,437.70 is: 206,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,051.80 : 472,454.85 = 137,437.70 : x
  2. Step 2: Convert to fraction form
    315,051.80/472,454.85 = 137,437.70/x
  3. Step 3: Cross multiply
    315,051.80x = 472,454.85 × 137,437.70
  4. Step 4: Simplify right side
    315,051.80x = 64,933,107,937.85
  5. Step 5: Solve for x
    x = 64,933,107,937.85/315,051.80
  6. Step 6: Final answer
    x = 206,102.96

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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.