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Finding the Fourth Proportional to 159,598.25, 239,432.36 and 47,287.29

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Solution

The fourth proportional to 159,598.25, 239,432.36 and 47,287.29 is: 70,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,598.25 : 239,432.36 = 47,287.29 : x
  2. Step 2: Convert to fraction form
    159,598.25/239,432.36 = 47,287.29/x
  3. Step 3: Cross multiply
    159,598.25x = 239,432.36 × 47,287.29
  4. Step 4: Simplify right side
    159,598.25x = 11,322,107,206.27
  5. Step 5: Solve for x
    x = 11,322,107,206.27/159,598.25
  6. Step 6: Final answer
    x = 70,941.30

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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.