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Finding the Fourth Proportional to 221,963.76, 333,667.44 and 178,070.76

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Solution

The fourth proportional to 221,963.76, 333,667.44 and 178,070.76 is: 267,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,963.76 : 333,667.44 = 178,070.76 : x
  2. Step 2: Convert to fraction form
    221,963.76/333,667.44 = 178,070.76/x
  3. Step 3: Cross multiply
    221,963.76x = 333,667.44 × 178,070.76
  4. Step 4: Simplify right side
    221,963.76x = 59,416,414,628.05
  5. Step 5: Solve for x
    x = 59,416,414,628.05/221,963.76
  6. Step 6: Final answer
    x = 267,685.21

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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.