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Finding the Fourth Proportional to 198,592.47, 274,055.53 and 147,832.20

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Solution

The fourth proportional to 198,592.47, 274,055.53 and 147,832.20 is: 204,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.47 : 274,055.53 = 147,832.20 : x
  2. Step 2: Convert to fraction form
    198,592.47/274,055.53 = 147,832.20/x
  3. Step 3: Cross multiply
    198,592.47x = 274,055.53 × 147,832.20
  4. Step 4: Simplify right side
    198,592.47x = 40,514,231,922.07
  5. Step 5: Solve for x
    x = 40,514,231,922.07/198,592.47
  6. Step 6: Final answer
    x = 204,006.89

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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.