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Finding the Fourth Proportional to 103,523.20, 155,284.80 and 91,057.30

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Solution

The fourth proportional to 103,523.20, 155,284.80 and 91,057.30 is: 136,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,523.20 : 155,284.80 = 91,057.30 : x
  2. Step 2: Convert to fraction form
    103,523.20/155,284.80 = 91,057.30/x
  3. Step 3: Cross multiply
    103,523.20x = 155,284.80 × 91,057.30
  4. Step 4: Simplify right side
    103,523.20x = 14,139,814,619.04
  5. Step 5: Solve for x
    x = 14,139,814,619.04/103,523.20
  6. Step 6: Final answer
    x = 136,585.95

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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.