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Finding the Fourth Proportional to 103,634.60, 155,682.31 and 100,869.80

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Solution

The fourth proportional to 103,634.60, 155,682.31 and 100,869.80 is: 151,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.60 : 155,682.31 = 100,869.80 : x
  2. Step 2: Convert to fraction form
    103,634.60/155,682.31 = 100,869.80/x
  3. Step 3: Cross multiply
    103,634.60x = 155,682.31 × 100,869.80
  4. Step 4: Simplify right side
    103,634.60x = 15,703,643,473.24
  5. Step 5: Solve for x
    x = 15,703,643,473.24/103,634.60
  6. Step 6: Final answer
    x = 151,528.96

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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.