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Finding the Fourth Proportional to 273,145.60, 409,718.40 and 178,667.20

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Solution

The fourth proportional to 273,145.60, 409,718.40 and 178,667.20 is: 268,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,145.60 : 409,718.40 = 178,667.20 : x
  2. Step 2: Convert to fraction form
    273,145.60/409,718.40 = 178,667.20/x
  3. Step 3: Cross multiply
    273,145.60x = 409,718.40 × 178,667.20
  4. Step 4: Simplify right side
    273,145.60x = 73,203,239,316.48
  5. Step 5: Solve for x
    x = 73,203,239,316.48/273,145.60
  6. Step 6: Final answer
    x = 268,000.80

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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.