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Finding the Fourth Proportional to 186,102.15, 278,984.30 and 67,689.78

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Solution

The fourth proportional to 186,102.15, 278,984.30 and 67,689.78 is: 101,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,102.15 : 278,984.30 = 67,689.78 : x
  2. Step 2: Convert to fraction form
    186,102.15/278,984.30 = 67,689.78/x
  3. Step 3: Cross multiply
    186,102.15x = 278,984.30 × 67,689.78
  4. Step 4: Simplify right side
    186,102.15x = 18,884,385,552.01
  5. Step 5: Solve for x
    x = 18,884,385,552.01/186,102.15
  6. Step 6: Final answer
    x = 101,473.23

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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.