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Finding the Fourth Proportional to 196,004.80, 293,569.80 and 151,487.20

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Solution

The fourth proportional to 196,004.80, 293,569.80 and 151,487.20 is: 226,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,004.80 : 293,569.80 = 151,487.20 : x
  2. Step 2: Convert to fraction form
    196,004.80/293,569.80 = 151,487.20/x
  3. Step 3: Cross multiply
    196,004.80x = 293,569.80 × 151,487.20
  4. Step 4: Simplify right side
    196,004.80x = 44,472,067,006.56
  5. Step 5: Solve for x
    x = 44,472,067,006.56/196,004.80
  6. Step 6: Final answer
    x = 226,892.74

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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.