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Finding the Fourth Proportional to 162,007.20, 243,010.80 and 150,935.52

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Solution

The fourth proportional to 162,007.20, 243,010.80 and 150,935.52 is: 226,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,007.20 : 243,010.80 = 150,935.52 : x
  2. Step 2: Convert to fraction form
    162,007.20/243,010.80 = 150,935.52/x
  3. Step 3: Cross multiply
    162,007.20x = 243,010.80 × 150,935.52
  4. Step 4: Simplify right side
    162,007.20x = 36,678,961,463.62
  5. Step 5: Solve for x
    x = 36,678,961,463.62/162,007.20
  6. Step 6: Final answer
    x = 226,403.28

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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.