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Finding the Fourth Proportional to 160,747.70, 240,970.68 and 54,057.06

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Solution

The fourth proportional to 160,747.70, 240,970.68 and 54,057.06 is: 81,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,747.70 : 240,970.68 = 54,057.06 : x
  2. Step 2: Convert to fraction form
    160,747.70/240,970.68 = 54,057.06/x
  3. Step 3: Cross multiply
    160,747.70x = 240,970.68 × 54,057.06
  4. Step 4: Simplify right side
    160,747.70x = 13,026,166,507.00
  5. Step 5: Solve for x
    x = 13,026,166,507.00/160,747.70
  6. Step 6: Final answer
    x = 81,034.86

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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.