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Finding the Fourth Proportional to 160,522.56, 240,939.36 and 77,474.88

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Solution

The fourth proportional to 160,522.56, 240,939.36 and 77,474.88 is: 116,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,522.56 : 240,939.36 = 77,474.88 : x
  2. Step 2: Convert to fraction form
    160,522.56/240,939.36 = 77,474.88/x
  3. Step 3: Cross multiply
    160,522.56x = 240,939.36 × 77,474.88
  4. Step 4: Simplify right side
    160,522.56x = 18,666,748,003.28
  5. Step 5: Solve for x
    x = 18,666,748,003.28/160,522.56
  6. Step 6: Final answer
    x = 116,287.38

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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.