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Finding the Fourth Proportional to 173,874.30, 260,811.45 and 107,097.90

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Solution

The fourth proportional to 173,874.30, 260,811.45 and 107,097.90 is: 160,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,874.30 : 260,811.45 = 107,097.90 : x
  2. Step 2: Convert to fraction form
    173,874.30/260,811.45 = 107,097.90/x
  3. Step 3: Cross multiply
    173,874.30x = 260,811.45 × 107,097.90
  4. Step 4: Simplify right side
    173,874.30x = 27,932,358,590.96
  5. Step 5: Solve for x
    x = 27,932,358,590.96/173,874.30
  6. Step 6: Final answer
    x = 160,646.85

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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.