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Finding the Fourth Proportional to 161,462.64, 242,255.46 and 72,695.73

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Solution

The fourth proportional to 161,462.64, 242,255.46 and 72,695.73 is: 109,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462.64 : 242,255.46 = 72,695.73 : x
  2. Step 2: Convert to fraction form
    161,462.64/242,255.46 = 72,695.73/x
  3. Step 3: Cross multiply
    161,462.64x = 242,255.46 × 72,695.73
  4. Step 4: Simplify right side
    161,462.64x = 17,610,937,511.19
  5. Step 5: Solve for x
    x = 17,610,937,511.19/161,462.64
  6. Step 6: Final answer
    x = 109,071.28

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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.