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Finding the Fourth Proportional to 102,657.45, 141,684.39 and 99,959.22

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Solution

The fourth proportional to 102,657.45, 141,684.39 and 99,959.22 is: 137,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.45 : 141,684.39 = 99,959.22 : x
  2. Step 2: Convert to fraction form
    102,657.45/141,684.39 = 99,959.22/x
  3. Step 3: Cross multiply
    102,657.45x = 141,684.39 × 99,959.22
  4. Step 4: Simplify right side
    102,657.45x = 14,162,661,110.58
  5. Step 5: Solve for x
    x = 14,162,661,110.58/102,657.45
  6. Step 6: Final answer
    x = 137,960.38

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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.