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Finding the Fourth Proportional to 221,951.76, 333,649.38 and 178,058.70

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Solution

The fourth proportional to 221,951.76, 333,649.38 and 178,058.70 is: 267,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,951.76 : 333,649.38 = 178,058.70 : x
  2. Step 2: Convert to fraction form
    221,951.76/333,649.38 = 178,058.70/x
  3. Step 3: Cross multiply
    221,951.76x = 333,649.38 × 178,058.70
  4. Step 4: Simplify right side
    221,951.76x = 59,409,174,858.61
  5. Step 5: Solve for x
    x = 59,409,174,858.61/221,951.76
  6. Step 6: Final answer
    x = 267,667.06

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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.