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Finding the Fourth Proportional to 208,565.88, 312,894.36 and 75,432.24

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Solution

The fourth proportional to 208,565.88, 312,894.36 and 75,432.24 is: 113,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.88 : 312,894.36 = 75,432.24 : x
  2. Step 2: Convert to fraction form
    208,565.88/312,894.36 = 75,432.24/x
  3. Step 3: Cross multiply
    208,565.88x = 312,894.36 × 75,432.24
  4. Step 4: Simplify right side
    208,565.88x = 23,602,322,458.17
  5. Step 5: Solve for x
    x = 23,602,322,458.17/208,565.88
  6. Step 6: Final answer
    x = 113,164.83

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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.