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Finding the Fourth Proportional to 206,854.76, 310,124.30 and 106,951.19

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Solution

The fourth proportional to 206,854.76, 310,124.30 and 106,951.19 is: 160,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,854.76 : 310,124.30 = 106,951.19 : x
  2. Step 2: Convert to fraction form
    206,854.76/310,124.30 = 106,951.19/x
  3. Step 3: Cross multiply
    206,854.76x = 310,124.30 × 106,951.19
  4. Step 4: Simplify right side
    206,854.76x = 33,168,160,847.54
  5. Step 5: Solve for x
    x = 33,168,160,847.54/206,854.76
  6. Step 6: Final answer
    x = 160,345.16

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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.