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Finding the Fourth Proportional to 205,060.40, 307,590.60 and 149,291.90

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Solution

The fourth proportional to 205,060.40, 307,590.60 and 149,291.90 is: 223,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,060.40 : 307,590.60 = 149,291.90 : x
  2. Step 2: Convert to fraction form
    205,060.40/307,590.60 = 149,291.90/x
  3. Step 3: Cross multiply
    205,060.40x = 307,590.60 × 149,291.90
  4. Step 4: Simplify right side
    205,060.40x = 45,920,785,096.14
  5. Step 5: Solve for x
    x = 45,920,785,096.14/205,060.40
  6. Step 6: Final answer
    x = 223,937.85

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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.