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Finding the Fourth Proportional to 161,879.16, 242,724.78 and 49,527.30

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Solution

The fourth proportional to 161,879.16, 242,724.78 and 49,527.30 is: 74,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,879.16 : 242,724.78 = 49,527.30 : x
  2. Step 2: Convert to fraction form
    161,879.16/242,724.78 = 49,527.30/x
  3. Step 3: Cross multiply
    161,879.16x = 242,724.78 × 49,527.30
  4. Step 4: Simplify right side
    161,879.16x = 12,021,502,996.49
  5. Step 5: Solve for x
    x = 12,021,502,996.49/161,879.16
  6. Step 6: Final answer
    x = 74,262.20

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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.