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Finding the Fourth Proportional to 148,759.92, 205,052.76 and 145,810.80

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Solution

The fourth proportional to 148,759.92, 205,052.76 and 145,810.80 is: 200,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,759.92 : 205,052.76 = 145,810.80 : x
  2. Step 2: Convert to fraction form
    148,759.92/205,052.76 = 145,810.80/x
  3. Step 3: Cross multiply
    148,759.92x = 205,052.76 × 145,810.80
  4. Step 4: Simplify right side
    148,759.92x = 29,898,906,977.81
  5. Step 5: Solve for x
    x = 29,898,906,977.81/148,759.92
  6. Step 6: Final answer
    x = 200,987.65

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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.