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Finding the Fourth Proportional to 353,294.91, 487,542.15 and 192,146.49

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Solution

The fourth proportional to 353,294.91, 487,542.15 and 192,146.49 is: 265,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,294.91 : 487,542.15 = 192,146.49 : x
  2. Step 2: Convert to fraction form
    353,294.91/487,542.15 = 192,146.49/x
  3. Step 3: Cross multiply
    353,294.91x = 487,542.15 × 192,146.49
  4. Step 4: Simplify right side
    353,294.91x = 93,679,512,849.55
  5. Step 5: Solve for x
    x = 93,679,512,849.55/353,294.91
  6. Step 6: Final answer
    x = 265,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.