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Finding the Fourth Proportional to 141,298.92, 211,958.10 and 47,773.08

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Solution

The fourth proportional to 141,298.92, 211,958.10 and 47,773.08 is: 71,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,298.92 : 211,958.10 = 47,773.08 : x
  2. Step 2: Convert to fraction form
    141,298.92/211,958.10 = 47,773.08/x
  3. Step 3: Cross multiply
    141,298.92x = 211,958.10 × 47,773.08
  4. Step 4: Simplify right side
    141,298.92x = 10,125,891,267.95
  5. Step 5: Solve for x
    x = 10,125,891,267.95/141,298.92
  6. Step 6: Final answer
    x = 71,662.91

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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.