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Finding the Fourth Proportional to 206,957.20, 310,508.70 and 101,705.80

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Solution

The fourth proportional to 206,957.20, 310,508.70 and 101,705.80 is: 152,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957.20 : 310,508.70 = 101,705.80 : x
  2. Step 2: Convert to fraction form
    206,957.20/310,508.70 = 101,705.80/x
  3. Step 3: Cross multiply
    206,957.20x = 310,508.70 × 101,705.80
  4. Step 4: Simplify right side
    206,957.20x = 31,580,535,740.46
  5. Step 5: Solve for x
    x = 31,580,535,740.46/206,957.20
  6. Step 6: Final answer
    x = 152,594.53

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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.