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Finding the Fourth Proportional to 103,602.71, 155,451.23 and 50,265.90

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Solution

The fourth proportional to 103,602.71, 155,451.23 and 50,265.90 is: 75,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602.71 : 155,451.23 = 50,265.90 : x
  2. Step 2: Convert to fraction form
    103,602.71/155,451.23 = 50,265.90/x
  3. Step 3: Cross multiply
    103,602.71x = 155,451.23 × 50,265.90
  4. Step 4: Simplify right side
    103,602.71x = 7,813,894,953.47
  5. Step 5: Solve for x
    x = 7,813,894,953.47/103,602.71
  6. Step 6: Final answer
    x = 75,421.73

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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.