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Finding the Fourth Proportional to 208,300.82, 312,451.68 and 75,275.02

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Solution

The fourth proportional to 208,300.82, 312,451.68 and 75,275.02 is: 112,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,300.82 : 312,451.68 = 75,275.02 : x
  2. Step 2: Convert to fraction form
    208,300.82/312,451.68 = 75,275.02/x
  3. Step 3: Cross multiply
    208,300.82x = 312,451.68 × 75,275.02
  4. Step 4: Simplify right side
    208,300.82x = 23,519,806,710.46
  5. Step 5: Solve for x
    x = 23,519,806,710.46/208,300.82
  6. Step 6: Final answer
    x = 112,912.70

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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.