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Finding the Fourth Proportional to 107,246.80, 160,870.20 and 102,696.40

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Solution

The fourth proportional to 107,246.80, 160,870.20 and 102,696.40 is: 154,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,246.80 : 160,870.20 = 102,696.40 : x
  2. Step 2: Convert to fraction form
    107,246.80/160,870.20 = 102,696.40/x
  3. Step 3: Cross multiply
    107,246.80x = 160,870.20 × 102,696.40
  4. Step 4: Simplify right side
    107,246.80x = 16,520,790,407.28
  5. Step 5: Solve for x
    x = 16,520,790,407.28/107,246.80
  6. Step 6: Final answer
    x = 154,044.60

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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.