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Finding the Fourth Proportional to 374,104.16, 561,379.80 and 137,470.76

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Solution

The fourth proportional to 374,104.16, 561,379.80 and 137,470.76 is: 206,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,104.16 : 561,379.80 = 137,470.76 : x
  2. Step 2: Convert to fraction form
    374,104.16/561,379.80 = 137,470.76/x
  3. Step 3: Cross multiply
    374,104.16x = 561,379.80 × 137,470.76
  4. Step 4: Simplify right side
    374,104.16x = 77,173,307,754.65
  5. Step 5: Solve for x
    x = 77,173,307,754.65/374,104.16
  6. Step 6: Final answer
    x = 206,288.29

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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.