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Finding the Fourth Proportional to 442,182.42, 663,236.56 and 158,082.92

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Solution

The fourth proportional to 442,182.42, 663,236.56 and 158,082.92 is: 237,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,182.42 : 663,236.56 = 158,082.92 : x
  2. Step 2: Convert to fraction form
    442,182.42/663,236.56 = 158,082.92/x
  3. Step 3: Cross multiply
    442,182.42x = 663,236.56 × 158,082.92
  4. Step 4: Simplify right side
    442,182.42x = 104,846,372,055.56
  5. Step 5: Solve for x
    x = 104,846,372,055.56/442,182.42
  6. Step 6: Final answer
    x = 237,111.13

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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.