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Finding the Fourth Proportional to 205,205.33, 307,177.35 and 174,938.16

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Solution

The fourth proportional to 205,205.33, 307,177.35 and 174,938.16 is: 261,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.33 : 307,177.35 = 174,938.16 : x
  2. Step 2: Convert to fraction form
    205,205.33/307,177.35 = 174,938.16/x
  3. Step 3: Cross multiply
    205,205.33x = 307,177.35 × 174,938.16
  4. Step 4: Simplify right side
    205,205.33x = 53,737,040,898.57
  5. Step 5: Solve for x
    x = 53,737,040,898.57/205,205.33
  6. Step 6: Final answer
    x = 261,869.61

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1.5x scale

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.