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Finding the Fourth Proportional to 160,708.83, 241,172.16 and 65,956.11

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Solution

The fourth proportional to 160,708.83, 241,172.16 and 65,956.11 is: 98,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708.83 : 241,172.16 = 65,956.11 : x
  2. Step 2: Convert to fraction form
    160,708.83/241,172.16 = 65,956.11/x
  3. Step 3: Cross multiply
    160,708.83x = 241,172.16 × 65,956.11
  4. Step 4: Simplify right side
    160,708.83x = 15,906,777,513.90
  5. Step 5: Solve for x
    x = 15,906,777,513.90/160,708.83
  6. Step 6: Final answer
    x = 98,978.86

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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.