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Finding the Fourth Proportional to 161,856.30, 242,711.55 and 61,983.30

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Solution

The fourth proportional to 161,856.30, 242,711.55 and 61,983.30 is: 92,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,856.30 : 242,711.55 = 61,983.30 : x
  2. Step 2: Convert to fraction form
    161,856.30/242,711.55 = 61,983.30/x
  3. Step 3: Cross multiply
    161,856.30x = 242,711.55 × 61,983.30
  4. Step 4: Simplify right side
    161,856.30x = 15,044,062,817.12
  5. Step 5: Solve for x
    x = 15,044,062,817.12/161,856.30
  6. Step 6: Final answer
    x = 92,947.03

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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.