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Finding the Fourth Proportional to 208,472.66, 312,715.07 and 75,329.32

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Solution

The fourth proportional to 208,472.66, 312,715.07 and 75,329.32 is: 112,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,472.66 : 312,715.07 = 75,329.32 : x
  2. Step 2: Convert to fraction form
    208,472.66/312,715.07 = 75,329.32/x
  3. Step 3: Cross multiply
    208,472.66x = 312,715.07 × 75,329.32
  4. Step 4: Simplify right side
    208,472.66x = 23,556,612,700.90
  5. Step 5: Solve for x
    x = 23,556,612,700.90/208,472.66
  6. Step 6: Final answer
    x = 112,996.17

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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.