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Finding the Fourth Proportional to 247,095.86, 370,671.02 and 78,576.76

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Solution

The fourth proportional to 247,095.86, 370,671.02 and 78,576.76 is: 117,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,095.86 : 370,671.02 = 78,576.76 : x
  2. Step 2: Convert to fraction form
    247,095.86/370,671.02 = 78,576.76/x
  3. Step 3: Cross multiply
    247,095.86x = 370,671.02 × 78,576.76
  4. Step 4: Simplify right side
    247,095.86x = 29,126,125,531.26
  5. Step 5: Solve for x
    x = 29,126,125,531.26/247,095.86
  6. Step 6: Final answer
    x = 117,873.79

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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.