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Finding the Fourth Proportional to 231,280.88, 347,223.45 and 185,712.91

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Solution

The fourth proportional to 231,280.88, 347,223.45 and 185,712.91 is: 278,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,280.88 : 347,223.45 = 185,712.91 : x
  2. Step 2: Convert to fraction form
    231,280.88/347,223.45 = 185,712.91/x
  3. Step 3: Cross multiply
    231,280.88x = 347,223.45 × 185,712.91
  4. Step 4: Simplify right side
    231,280.88x = 64,483,877,319.74
  5. Step 5: Solve for x
    x = 64,483,877,319.74/231,280.88
  6. Step 6: Final answer
    x = 278,811.97

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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.