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Finding the Fourth Proportional to 262,122.75, 361,729.53 and 148,945.50

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Solution

The fourth proportional to 262,122.75, 361,729.53 and 148,945.50 is: 205,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,122.75 : 361,729.53 = 148,945.50 : x
  2. Step 2: Convert to fraction form
    262,122.75/361,729.53 = 148,945.50/x
  3. Step 3: Cross multiply
    262,122.75x = 361,729.53 × 148,945.50
  4. Step 4: Simplify right side
    262,122.75x = 53,877,985,710.62
  5. Step 5: Solve for x
    x = 53,877,985,710.62/262,122.75
  6. Step 6: Final answer
    x = 205,544.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.