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Finding the Fourth Proportional to 292,082.86, 438,124.38 and 123,559.48

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Solution

The fourth proportional to 292,082.86, 438,124.38 and 123,559.48 is: 185,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,082.86 : 438,124.38 = 123,559.48 : x
  2. Step 2: Convert to fraction form
    292,082.86/438,124.38 = 123,559.48/x
  3. Step 3: Cross multiply
    292,082.86x = 438,124.38 × 123,559.48
  4. Step 4: Simplify right side
    292,082.86x = 54,134,420,568.12
  5. Step 5: Solve for x
    x = 54,134,420,568.12/292,082.86
  6. Step 6: Final answer
    x = 185,339.26

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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.