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Finding the Fourth Proportional to 207,332.82, 311,114.02 and 192,275.30

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Solution

The fourth proportional to 207,332.82, 311,114.02 and 192,275.30 is: 288,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332.82 : 311,114.02 = 192,275.30 : x
  2. Step 2: Convert to fraction form
    207,332.82/311,114.02 = 192,275.30/x
  3. Step 3: Cross multiply
    207,332.82x = 311,114.02 × 192,275.30
  4. Step 4: Simplify right side
    207,332.82x = 59,819,541,529.71
  5. Step 5: Solve for x
    x = 59,819,541,529.71/207,332.82
  6. Step 6: Final answer
    x = 288,519.40

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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.