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Finding the Fourth Proportional to 231,864.80, 347,710.80 and 161,535.20

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Solution

The fourth proportional to 231,864.80, 347,710.80 and 161,535.20 is: 242,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,864.80 : 347,710.80 = 161,535.20 : x
  2. Step 2: Convert to fraction form
    231,864.80/347,710.80 = 161,535.20/x
  3. Step 3: Cross multiply
    231,864.80x = 347,710.80 × 161,535.20
  4. Step 4: Simplify right side
    231,864.80x = 56,167,533,620.16
  5. Step 5: Solve for x
    x = 56,167,533,620.16/231,864.80
  6. Step 6: Final answer
    x = 242,242.61

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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.