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Finding the Fourth Proportional to 207,332.30, 311,000.20 and 57,584.26

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Solution

The fourth proportional to 207,332.30, 311,000.20 and 57,584.26 is: 86,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332.30 : 311,000.20 = 57,584.26 : x
  2. Step 2: Convert to fraction form
    207,332.30/311,000.20 = 57,584.26/x
  3. Step 3: Cross multiply
    207,332.30x = 311,000.20 × 57,584.26
  4. Step 4: Simplify right side
    207,332.30x = 17,908,716,376.85
  5. Step 5: Solve for x
    x = 17,908,716,376.85/207,332.30
  6. Step 6: Final answer
    x = 86,376.88

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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.