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Finding the Fourth Proportional to 159,675.76, 239,447.76 and 54,503.20

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Solution

The fourth proportional to 159,675.76, 239,447.76 and 54,503.20 is: 81,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,675.76 : 239,447.76 = 54,503.20 : x
  2. Step 2: Convert to fraction form
    159,675.76/239,447.76 = 54,503.20/x
  3. Step 3: Cross multiply
    159,675.76x = 239,447.76 × 54,503.20
  4. Step 4: Simplify right side
    159,675.76x = 13,050,669,152.83
  5. Step 5: Solve for x
    x = 13,050,669,152.83/159,675.76
  6. Step 6: Final answer
    x = 81,732.31

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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.