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Finding the Fourth Proportional to 231,543.42, 347,304.59 and 96,551.79

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Solution

The fourth proportional to 231,543.42, 347,304.59 and 96,551.79 is: 144,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,543.42 : 347,304.59 = 96,551.79 : x
  2. Step 2: Convert to fraction form
    231,543.42/347,304.59 = 96,551.79/x
  3. Step 3: Cross multiply
    231,543.42x = 347,304.59 × 96,551.79
  4. Step 4: Simplify right side
    231,543.42x = 33,532,879,839.72
  5. Step 5: Solve for x
    x = 33,532,879,839.72/231,543.42
  6. Step 6: Final answer
    x = 144,823.29

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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.