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Finding the Fourth Proportional to 159,592.21, 239,423.32 and 47,281.20

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Solution

The fourth proportional to 159,592.21, 239,423.32 and 47,281.20 is: 70,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,592.21 : 239,423.32 = 47,281.20 : x
  2. Step 2: Convert to fraction form
    159,592.21/239,423.32 = 47,281.20/x
  3. Step 3: Cross multiply
    159,592.21x = 239,423.32 × 47,281.20
  4. Step 4: Simplify right side
    159,592.21x = 11,320,221,877.58
  5. Step 5: Solve for x
    x = 11,320,221,877.58/159,592.21
  6. Step 6: Final answer
    x = 70,932.17

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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.