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Finding the Fourth Proportional to 296,103.20, 443,935.92 and 153,744.08

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Solution

The fourth proportional to 296,103.20, 443,935.92 and 153,744.08 is: 230,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103.20 : 443,935.92 = 153,744.08 : x
  2. Step 2: Convert to fraction form
    296,103.20/443,935.92 = 153,744.08/x
  3. Step 3: Cross multiply
    296,103.20x = 443,935.92 × 153,744.08
  4. Step 4: Simplify right side
    296,103.20x = 68,252,519,599.35
  5. Step 5: Solve for x
    x = 68,252,519,599.35/296,103.20
  6. Step 6: Final answer
    x = 230,502.47

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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.