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Finding the Fourth Proportional to 269,085.96, 371,310.72 and 165,703.74

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Solution

The fourth proportional to 269,085.96, 371,310.72 and 165,703.74 is: 228,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,085.96 : 371,310.72 = 165,703.74 : x
  2. Step 2: Convert to fraction form
    269,085.96/371,310.72 = 165,703.74/x
  3. Step 3: Cross multiply
    269,085.96x = 371,310.72 × 165,703.74
  4. Step 4: Simplify right side
    269,085.96x = 61,527,575,006.09
  5. Step 5: Solve for x
    x = 61,527,575,006.09/269,085.96
  6. Step 6: Final answer
    x = 228,653.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.