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Finding the Fourth Proportional to 202,068, 278,709.66 and 171,642.24

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Solution

The fourth proportional to 202,068, 278,709.66 and 171,642.24 is: 236,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,068 : 278,709.66 = 171,642.24 : x
  2. Step 2: Convert to fraction form
    202,068/278,709.66 = 171,642.24/x
  3. Step 3: Cross multiply
    202,068x = 278,709.66 × 171,642.24
  4. Step 4: Simplify right side
    202,068x = 47,838,350,352.04
  5. Step 5: Solve for x
    x = 47,838,350,352.04/202,068
  6. Step 6: Final answer
    x = 236,743.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.