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Finding the Fourth Proportional to 161,451.82, 242,046.51 and 56,344.60

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Solution

The fourth proportional to 161,451.82, 242,046.51 and 56,344.60 is: 84,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,451.82 : 242,046.51 = 56,344.60 : x
  2. Step 2: Convert to fraction form
    161,451.82/242,046.51 = 56,344.60/x
  3. Step 3: Cross multiply
    161,451.82x = 242,046.51 × 56,344.60
  4. Step 4: Simplify right side
    161,451.82x = 13,638,013,787.35
  5. Step 5: Solve for x
    x = 13,638,013,787.35/161,451.82
  6. Step 6: Final answer
    x = 84,471.11

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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.