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Finding the Fourth Proportional to 296,925.75, 409,758.66 and 160,959.96

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Solution

The fourth proportional to 296,925.75, 409,758.66 and 160,959.96 is: 222,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,925.75 : 409,758.66 = 160,959.96 : x
  2. Step 2: Convert to fraction form
    296,925.75/409,758.66 = 160,959.96/x
  3. Step 3: Cross multiply
    296,925.75x = 409,758.66 × 160,959.96
  4. Step 4: Simplify right side
    296,925.75x = 65,954,737,523.25
  5. Step 5: Solve for x
    x = 65,954,737,523.25/296,925.75
  6. Step 6: Final answer
    x = 222,125.35

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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.