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Finding the Fourth Proportional to 161,474.47, 242,228.22 and 61,718.64

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Solution

The fourth proportional to 161,474.47, 242,228.22 and 61,718.64 is: 92,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,474.47 : 242,228.22 = 61,718.64 : x
  2. Step 2: Convert to fraction form
    161,474.47/242,228.22 = 61,718.64/x
  3. Step 3: Cross multiply
    161,474.47x = 242,228.22 × 61,718.64
  4. Step 4: Simplify right side
    161,474.47x = 14,949,996,308.02
  5. Step 5: Solve for x
    x = 14,949,996,308.02/161,474.47
  6. Step 6: Final answer
    x = 92,584.27

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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.