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Finding the Fourth Proportional to 276,051, 413,830.65 and 107,531.91

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Solution

The fourth proportional to 276,051, 413,830.65 and 107,531.91 is: 161,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,051 : 413,830.65 = 107,531.91 : x
  2. Step 2: Convert to fraction form
    276,051/413,830.65 = 107,531.91/x
  3. Step 3: Cross multiply
    276,051x = 413,830.65 × 107,531.91
  4. Step 4: Simplify right side
    276,051x = 44,500,000,211.04
  5. Step 5: Solve for x
    x = 44,500,000,211.04/276,051
  6. Step 6: Final answer
    x = 161,202.10

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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.