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Finding the Fourth Proportional to 216,463.52, 298,693.78 and 119,654.30

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Solution

The fourth proportional to 216,463.52, 298,693.78 and 119,654.30 is: 165,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.52 : 298,693.78 = 119,654.30 : x
  2. Step 2: Convert to fraction form
    216,463.52/298,693.78 = 119,654.30/x
  3. Step 3: Cross multiply
    216,463.52x = 298,693.78 × 119,654.30
  4. Step 4: Simplify right side
    216,463.52x = 35,739,995,160.25
  5. Step 5: Solve for x
    x = 35,739,995,160.25/216,463.52
  6. Step 6: Final answer
    x = 165,108.63

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1.5x scale

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.