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Finding the Fourth Proportional to 170,023, 255,039.90 and 51,695.38

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Solution

The fourth proportional to 170,023, 255,039.90 and 51,695.38 is: 77,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,023 : 255,039.90 = 51,695.38 : x
  2. Step 2: Convert to fraction form
    170,023/255,039.90 = 51,695.38/x
  3. Step 3: Cross multiply
    170,023x = 255,039.90 × 51,695.38
  4. Step 4: Simplify right side
    170,023x = 13,184,384,545.66
  5. Step 5: Solve for x
    x = 13,184,384,545.66/170,023
  6. Step 6: Final answer
    x = 77,544.71

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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.