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Finding the Fourth Proportional to 206,765.85, 310,156.68 and 64,624.23

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Solution

The fourth proportional to 206,765.85, 310,156.68 and 64,624.23 is: 96,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,765.85 : 310,156.68 = 64,624.23 : x
  2. Step 2: Convert to fraction form
    206,765.85/310,156.68 = 64,624.23/x
  3. Step 3: Cross multiply
    206,765.85x = 310,156.68 × 64,624.23
  4. Step 4: Simplify right side
    206,765.85x = 20,043,636,624.36
  5. Step 5: Solve for x
    x = 20,043,636,624.36/206,765.85
  6. Step 6: Final answer
    x = 96,938.82

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1.5x scale

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.