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Finding the Fourth Proportional to 201,176.10, 301,764.15 and 134,691.30

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Solution

The fourth proportional to 201,176.10, 301,764.15 and 134,691.30 is: 202,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176.10 : 301,764.15 = 134,691.30 : x
  2. Step 2: Convert to fraction form
    201,176.10/301,764.15 = 134,691.30/x
  3. Step 3: Cross multiply
    201,176.10x = 301,764.15 × 134,691.30
  4. Step 4: Simplify right side
    201,176.10x = 40,645,005,656.90
  5. Step 5: Solve for x
    x = 40,645,005,656.90/201,176.10
  6. Step 6: Final answer
    x = 202,036.95

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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.