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Finding the Fourth Proportional to 201,070.85, 301,649.67 and 67,948.16

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Solution

The fourth proportional to 201,070.85, 301,649.67 and 67,948.16 is: 101,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,070.85 : 301,649.67 = 67,948.16 : x
  2. Step 2: Convert to fraction form
    201,070.85/301,649.67 = 67,948.16/x
  3. Step 3: Cross multiply
    201,070.85x = 301,649.67 × 67,948.16
  4. Step 4: Simplify right side
    201,070.85x = 20,496,538,532.86
  5. Step 5: Solve for x
    x = 20,496,538,532.86/201,070.85
  6. Step 6: Final answer
    x = 101,936.90

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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.