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Finding the Fourth Proportional to 140,841.10, 210,872.85 and 109,737.10

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Solution

The fourth proportional to 140,841.10, 210,872.85 and 109,737.10 is: 164,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,841.10 : 210,872.85 = 109,737.10 : x
  2. Step 2: Convert to fraction form
    140,841.10/210,872.85 = 109,737.10/x
  3. Step 3: Cross multiply
    140,841.10x = 210,872.85 × 109,737.10
  4. Step 4: Simplify right side
    140,841.10x = 23,140,575,027.74
  5. Step 5: Solve for x
    x = 23,140,575,027.74/140,841.10
  6. Step 6: Final answer
    x = 164,302.71

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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.