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Finding the Fourth Proportional to 201,023.30, 301,567.80 and 67,911.50

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Solution

The fourth proportional to 201,023.30, 301,567.80 and 67,911.50 is: 101,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,023.30 : 301,567.80 = 67,911.50 : x
  2. Step 2: Convert to fraction form
    201,023.30/301,567.80 = 67,911.50/x
  3. Step 3: Cross multiply
    201,023.30x = 301,567.80 × 67,911.50
  4. Step 4: Simplify right side
    201,023.30x = 20,479,921,649.70
  5. Step 5: Solve for x
    x = 20,479,921,649.70/201,023.30
  6. Step 6: Final answer
    x = 101,878.35

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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.