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Finding the Fourth Proportional to 161,649.23, 242,473.82 and 61,819.47

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Solution

The fourth proportional to 161,649.23, 242,473.82 and 61,819.47 is: 92,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,649.23 : 242,473.82 = 61,819.47 : x
  2. Step 2: Convert to fraction form
    161,649.23/242,473.82 = 61,819.47/x
  3. Step 3: Cross multiply
    161,649.23x = 242,473.82 × 61,819.47
  4. Step 4: Simplify right side
    161,649.23x = 14,989,602,732.18
  5. Step 5: Solve for x
    x = 14,989,602,732.18/161,649.23
  6. Step 6: Final answer
    x = 92,729.20

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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.