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Finding the Fourth Proportional to 215,746.26, 323,763.36 and 75,504.90

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Solution

The fourth proportional to 215,746.26, 323,763.36 and 75,504.90 is: 113,307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,746.26 : 323,763.36 = 75,504.90 : x
  2. Step 2: Convert to fraction form
    215,746.26/323,763.36 = 75,504.90/x
  3. Step 3: Cross multiply
    215,746.26x = 323,763.36 × 75,504.90
  4. Step 4: Simplify right side
    215,746.26x = 24,445,720,120.46
  5. Step 5: Solve for x
    x = 24,445,720,120.46/215,746.26
  6. Step 6: Final answer
    x = 113,307.74

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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.