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Finding the Fourth Proportional to 159,503.76, 239,290.68 and 47,175.22

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Solution

The fourth proportional to 159,503.76, 239,290.68 and 47,175.22 is: 70,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,503.76 : 239,290.68 = 47,175.22 : x
  2. Step 2: Convert to fraction form
    159,503.76/239,290.68 = 47,175.22/x
  3. Step 3: Cross multiply
    159,503.76x = 239,290.68 × 47,175.22
  4. Step 4: Simplify right side
    159,503.76x = 11,288,590,472.95
  5. Step 5: Solve for x
    x = 11,288,590,472.95/159,503.76
  6. Step 6: Final answer
    x = 70,773.19

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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.