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Finding the Fourth Proportional to 138,163.38, 190,665.47 and 78,547.38

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Solution

The fourth proportional to 138,163.38, 190,665.47 and 78,547.38 is: 108,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.38 : 190,665.47 = 78,547.38 : x
  2. Step 2: Convert to fraction form
    138,163.38/190,665.47 = 78,547.38/x
  3. Step 3: Cross multiply
    138,163.38x = 190,665.47 × 78,547.38
  4. Step 4: Simplify right side
    138,163.38x = 14,976,273,124.97
  5. Step 5: Solve for x
    x = 14,976,273,124.97/138,163.38
  6. Step 6: Final answer
    x = 108,395.39

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1.5x scale

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.