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Finding the Fourth Proportional to 296,712, 445,123.80 and 119,233.08

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Solution

The fourth proportional to 296,712, 445,123.80 and 119,233.08 is: 178,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,712 : 445,123.80 = 119,233.08 : x
  2. Step 2: Convert to fraction form
    296,712/445,123.80 = 119,233.08/x
  3. Step 3: Cross multiply
    296,712x = 445,123.80 × 119,233.08
  4. Step 4: Simplify right side
    296,712x = 53,073,481,655.30
  5. Step 5: Solve for x
    x = 53,073,481,655.30/296,712
  6. Step 6: Final answer
    x = 178,872.04

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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.