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Finding the Fourth Proportional to 231,876.80, 347,728.80 and 161,547.20

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Solution

The fourth proportional to 231,876.80, 347,728.80 and 161,547.20 is: 242,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,876.80 : 347,728.80 = 161,547.20 : x
  2. Step 2: Convert to fraction form
    231,876.80/347,728.80 = 161,547.20/x
  3. Step 3: Cross multiply
    231,876.80x = 347,728.80 × 161,547.20
  4. Step 4: Simplify right side
    231,876.80x = 56,174,613,999.36
  5. Step 5: Solve for x
    x = 56,174,613,999.36/231,876.80
  6. Step 6: Final answer
    x = 242,260.61

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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.