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Finding the Fourth Proportional to 139,207.50, 192,106.49 and 75,545.31

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Solution

The fourth proportional to 139,207.50, 192,106.49 and 75,545.31 is: 104,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,207.50 : 192,106.49 = 75,545.31 : x
  2. Step 2: Convert to fraction form
    139,207.50/192,106.49 = 75,545.31/x
  3. Step 3: Cross multiply
    139,207.50x = 192,106.49 × 75,545.31
  4. Step 4: Simplify right side
    139,207.50x = 14,512,743,962.34
  5. Step 5: Solve for x
    x = 14,512,743,962.34/139,207.50
  6. Step 6: Final answer
    x = 104,252.60

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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.