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Finding the Fourth Proportional to 160,114.80, 240,177.06 and 54,932.28

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Solution

The fourth proportional to 160,114.80, 240,177.06 and 54,932.28 is: 82,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,114.80 : 240,177.06 = 54,932.28 : x
  2. Step 2: Convert to fraction form
    160,114.80/240,177.06 = 54,932.28/x
  3. Step 3: Cross multiply
    160,114.80x = 240,177.06 × 54,932.28
  4. Step 4: Simplify right side
    160,114.80x = 13,193,473,509.50
  5. Step 5: Solve for x
    x = 13,193,473,509.50/160,114.80
  6. Step 6: Final answer
    x = 82,400.09

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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.