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Finding the Fourth Proportional to 170,194.65, 255,301.58 and 51,869.85

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Solution

The fourth proportional to 170,194.65, 255,301.58 and 51,869.85 is: 77,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,194.65 : 255,301.58 = 51,869.85 : x
  2. Step 2: Convert to fraction form
    170,194.65/255,301.58 = 51,869.85/x
  3. Step 3: Cross multiply
    170,194.65x = 255,301.58 × 51,869.85
  4. Step 4: Simplify right side
    170,194.65x = 13,242,454,400.01
  5. Step 5: Solve for x
    x = 13,242,454,400.01/170,194.65
  6. Step 6: Final answer
    x = 77,807.70

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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.