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Finding the Fourth Proportional to 139,959.90, 209,876.67 and 40,097.23

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Solution

The fourth proportional to 139,959.90, 209,876.67 and 40,097.23 is: 60,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,959.90 : 209,876.67 = 40,097.23 : x
  2. Step 2: Convert to fraction form
    139,959.90/209,876.67 = 40,097.23/x
  3. Step 3: Cross multiply
    139,959.90x = 209,876.67 × 40,097.23
  4. Step 4: Simplify right side
    139,959.90x = 8,415,472,583.93
  5. Step 5: Solve for x
    x = 8,415,472,583.93/139,959.90
  6. Step 6: Final answer
    x = 60,127.74

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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.