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Finding the Fourth Proportional to 103,734.75, 155,602.26 and 28,854.90

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Solution

The fourth proportional to 103,734.75, 155,602.26 and 28,854.90 is: 43,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734.75 : 155,602.26 = 28,854.90 : x
  2. Step 2: Convert to fraction form
    103,734.75/155,602.26 = 28,854.90/x
  3. Step 3: Cross multiply
    103,734.75x = 155,602.26 × 28,854.90
  4. Step 4: Simplify right side
    103,734.75x = 4,489,887,652.07
  5. Step 5: Solve for x
    x = 4,489,887,652.07/103,734.75
  6. Step 6: Final answer
    x = 43,282.39

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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.