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Finding the Fourth Proportional to 201,281.24, 301,904.22 and 68,158.46

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Solution

The fourth proportional to 201,281.24, 301,904.22 and 68,158.46 is: 102,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.24 : 301,904.22 = 68,158.46 : x
  2. Step 2: Convert to fraction form
    201,281.24/301,904.22 = 68,158.46/x
  3. Step 3: Cross multiply
    201,281.24x = 301,904.22 × 68,158.46
  4. Step 4: Simplify right side
    201,281.24x = 20,577,326,702.70
  5. Step 5: Solve for x
    x = 20,577,326,702.70/201,281.24
  6. Step 6: Final answer
    x = 102,231.72

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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.