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Finding the Fourth Proportional to 202,061.43, 278,838.80 and 111,417.38

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Solution

The fourth proportional to 202,061.43, 278,838.80 and 111,417.38 is: 153,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,061.43 : 278,838.80 = 111,417.38 : x
  2. Step 2: Convert to fraction form
    202,061.43/278,838.80 = 111,417.38/x
  3. Step 3: Cross multiply
    202,061.43x = 278,838.80 × 111,417.38
  4. Step 4: Simplify right side
    202,061.43x = 31,067,487,422.69
  5. Step 5: Solve for x
    x = 31,067,487,422.69/202,061.43
  6. Step 6: Final answer
    x = 153,752.69

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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.