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Finding the Fourth Proportional to 261,514.88, 392,233.44 and 95,264

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Solution

The fourth proportional to 261,514.88, 392,233.44 and 95,264 is: 142,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,514.88 : 392,233.44 = 95,264 : x
  2. Step 2: Convert to fraction form
    261,514.88/392,233.44 = 95,264/x
  3. Step 3: Cross multiply
    261,514.88x = 392,233.44 × 95,264
  4. Step 4: Simplify right side
    261,514.88x = 37,365,726,428.16
  5. Step 5: Solve for x
    x = 37,365,726,428.16/261,514.88
  6. Step 6: Final answer
    x = 142,881.84

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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.