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Finding the Fourth Proportional to 102,969.90, 154,195.65 and 67,718.70

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Solution

The fourth proportional to 102,969.90, 154,195.65 and 67,718.70 is: 101,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.90 : 154,195.65 = 67,718.70 : x
  2. Step 2: Convert to fraction form
    102,969.90/154,195.65 = 67,718.70/x
  3. Step 3: Cross multiply
    102,969.90x = 154,195.65 × 67,718.70
  4. Step 4: Simplify right side
    102,969.90x = 10,441,928,963.66
  5. Step 5: Solve for x
    x = 10,441,928,963.66/102,969.90
  6. Step 6: Final answer
    x = 101,407.59

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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.