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Finding the Fourth Proportional to 216,207.46, 324,458.80 and 75,966.08

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Solution

The fourth proportional to 216,207.46, 324,458.80 and 75,966.08 is: 114,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,207.46 : 324,458.80 = 75,966.08 : x
  2. Step 2: Convert to fraction form
    216,207.46/324,458.80 = 75,966.08/x
  3. Step 3: Cross multiply
    216,207.46x = 324,458.80 × 75,966.08
  4. Step 4: Simplify right side
    216,207.46x = 24,647,863,157.50
  5. Step 5: Solve for x
    x = 24,647,863,157.50/216,207.46
  6. Step 6: Final answer
    x = 114,000.98

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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.