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Finding the Fourth Proportional to 161,897.80, 242,846.70 and 149,456.20

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Solution

The fourth proportional to 161,897.80, 242,846.70 and 149,456.20 is: 224,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,897.80 : 242,846.70 = 149,456.20 : x
  2. Step 2: Convert to fraction form
    161,897.80/242,846.70 = 149,456.20/x
  3. Step 3: Cross multiply
    161,897.80x = 242,846.70 × 149,456.20
  4. Step 4: Simplify right side
    161,897.80x = 36,294,944,964.54
  5. Step 5: Solve for x
    x = 36,294,944,964.54/161,897.80
  6. Step 6: Final answer
    x = 224,184.30

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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.