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Finding the Fourth Proportional to 159,987.72, 240,033.42 and 54,807.60

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Solution

The fourth proportional to 159,987.72, 240,033.42 and 54,807.60 is: 82,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,987.72 : 240,033.42 = 54,807.60 : x
  2. Step 2: Convert to fraction form
    159,987.72/240,033.42 = 54,807.60/x
  3. Step 3: Cross multiply
    159,987.72x = 240,033.42 × 54,807.60
  4. Step 4: Simplify right side
    159,987.72x = 13,155,655,669.99
  5. Step 5: Solve for x
    x = 13,155,655,669.99/159,987.72
  6. Step 6: Final answer
    x = 82,229.16

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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.