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Finding the Fourth Proportional to 195,640.30, 293,569.80 and 83,301.40

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Solution

The fourth proportional to 195,640.30, 293,569.80 and 83,301.40 is: 124,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,640.30 : 293,569.80 = 83,301.40 : x
  2. Step 2: Convert to fraction form
    195,640.30/293,569.80 = 83,301.40/x
  3. Step 3: Cross multiply
    195,640.30x = 293,569.80 × 83,301.40
  4. Step 4: Simplify right side
    195,640.30x = 24,454,775,337.72
  5. Step 5: Solve for x
    x = 24,454,775,337.72/195,640.30
  6. Step 6: Final answer
    x = 124,998.66

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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.