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Finding the Fourth Proportional to 206,706.60, 310,059.90 and 203,207.40

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Solution

The fourth proportional to 206,706.60, 310,059.90 and 203,207.40 is: 304,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,706.60 : 310,059.90 = 203,207.40 : x
  2. Step 2: Convert to fraction form
    206,706.60/310,059.90 = 203,207.40/x
  3. Step 3: Cross multiply
    206,706.60x = 310,059.90 × 203,207.40
  4. Step 4: Simplify right side
    206,706.60x = 63,006,466,123.26
  5. Step 5: Solve for x
    x = 63,006,466,123.26/206,706.60
  6. Step 6: Final answer
    x = 304,811.10

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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.