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Finding the Fourth Proportional to 268,246.83, 402,432.48 and 78,699.54

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Solution

The fourth proportional to 268,246.83, 402,432.48 and 78,699.54 is: 118,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,246.83 : 402,432.48 = 78,699.54 : x
  2. Step 2: Convert to fraction form
    268,246.83/402,432.48 = 78,699.54/x
  3. Step 3: Cross multiply
    268,246.83x = 402,432.48 × 78,699.54
  4. Step 4: Simplify right side
    268,246.83x = 31,671,251,057.06
  5. Step 5: Solve for x
    x = 31,671,251,057.06/268,246.83
  6. Step 6: Final answer
    x = 118,067.57

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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.