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Finding the Fourth Proportional to 201,352.90, 301,837.35 and 74,959.30

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Solution

The fourth proportional to 201,352.90, 301,837.35 and 74,959.30 is: 112,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352.90 : 301,837.35 = 74,959.30 : x
  2. Step 2: Convert to fraction form
    201,352.90/301,837.35 = 74,959.30/x
  3. Step 3: Cross multiply
    201,352.90x = 301,837.35 × 74,959.30
  4. Step 4: Simplify right side
    201,352.90x = 22,625,516,469.86
  5. Step 5: Solve for x
    x = 22,625,516,469.86/201,352.90
  6. Step 6: Final answer
    x = 112,367.47

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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.