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Finding the Fourth Proportional to 185,878.87, 278,817.76 and 52,759.25

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Solution

The fourth proportional to 185,878.87, 278,817.76 and 52,759.25 is: 79,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,878.87 : 278,817.76 = 52,759.25 : x
  2. Step 2: Convert to fraction form
    185,878.87/278,817.76 = 52,759.25/x
  3. Step 3: Cross multiply
    185,878.87x = 278,817.76 × 52,759.25
  4. Step 4: Simplify right side
    185,878.87x = 14,710,215,621.71
  5. Step 5: Solve for x
    x = 14,710,215,621.71/185,878.87
  6. Step 6: Final answer
    x = 79,138.72

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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.