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Finding the Fourth Proportional to 161,340.44, 242,005.19 and 61,497

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Solution

The fourth proportional to 161,340.44, 242,005.19 and 61,497 is: 92,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,340.44 : 242,005.19 = 61,497 : x
  2. Step 2: Convert to fraction form
    161,340.44/242,005.19 = 61,497/x
  3. Step 3: Cross multiply
    161,340.44x = 242,005.19 × 61,497
  4. Step 4: Simplify right side
    161,340.44x = 14,882,592,861.95
  5. Step 5: Solve for x
    x = 14,882,592,861.95/161,340.44
  6. Step 6: Final answer
    x = 92,243.42

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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.