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Finding the Fourth Proportional to 261,716.67, 392,258.30 and 119,367.07

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Solution

The fourth proportional to 261,716.67, 392,258.30 and 119,367.07 is: 178,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,716.67 : 392,258.30 = 119,367.07 : x
  2. Step 2: Convert to fraction form
    261,716.67/392,258.30 = 119,367.07/x
  3. Step 3: Cross multiply
    261,716.67x = 392,258.30 × 119,367.07
  4. Step 4: Simplify right side
    261,716.67x = 46,822,722,376.70
  5. Step 5: Solve for x
    x = 46,822,722,376.70/261,716.67
  6. Step 6: Final answer
    x = 178,906.15

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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.