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Finding the Fourth Proportional to 172,838.09, 259,295.19 and 52,895.96

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Solution

The fourth proportional to 172,838.09, 259,295.19 and 52,895.96 is: 79,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,838.09 : 259,295.19 = 52,895.96 : x
  2. Step 2: Convert to fraction form
    172,838.09/259,295.19 = 52,895.96/x
  3. Step 3: Cross multiply
    172,838.09x = 259,295.19 × 52,895.96
  4. Step 4: Simplify right side
    172,838.09x = 13,715,668,036.76
  5. Step 5: Solve for x
    x = 13,715,668,036.76/172,838.09
  6. Step 6: Final answer
    x = 79,355.59

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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.