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Finding the Fourth Proportional to 208,264.64, 312,400.80 and 75,154.88

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Solution

The fourth proportional to 208,264.64, 312,400.80 and 75,154.88 is: 112,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,264.64 : 312,400.80 = 75,154.88 : x
  2. Step 2: Convert to fraction form
    208,264.64/312,400.80 = 75,154.88/x
  3. Step 3: Cross multiply
    208,264.64x = 312,400.80 × 75,154.88
  4. Step 4: Simplify right side
    208,264.64x = 23,478,444,635.90
  5. Step 5: Solve for x
    x = 23,478,444,635.90/208,264.64
  6. Step 6: Final answer
    x = 112,733.71

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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.