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Finding the Fourth Proportional to 201,695.90, 302,543.85 and 83,452.10

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Solution

The fourth proportional to 201,695.90, 302,543.85 and 83,452.10 is: 125,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.90 : 302,543.85 = 83,452.10 : x
  2. Step 2: Convert to fraction form
    201,695.90/302,543.85 = 83,452.10/x
  3. Step 3: Cross multiply
    201,695.90x = 302,543.85 × 83,452.10
  4. Step 4: Simplify right side
    201,695.90x = 25,247,919,624.59
  5. Step 5: Solve for x
    x = 25,247,919,624.59/201,695.90
  6. Step 6: Final answer
    x = 125,178.15

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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.