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Finding the Fourth Proportional to 103,732.90, 155,599.35 and 78,849.70

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Solution

The fourth proportional to 103,732.90, 155,599.35 and 78,849.70 is: 118,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,732.90 : 155,599.35 = 78,849.70 : x
  2. Step 2: Convert to fraction form
    103,732.90/155,599.35 = 78,849.70/x
  3. Step 3: Cross multiply
    103,732.90x = 155,599.35 × 78,849.70
  4. Step 4: Simplify right side
    103,732.90x = 12,268,962,067.70
  5. Step 5: Solve for x
    x = 12,268,962,067.70/103,732.90
  6. Step 6: Final answer
    x = 118,274.55

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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.