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Finding the Fourth Proportional to 267,357.60, 401,122.80 and 178,711.20

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Solution

The fourth proportional to 267,357.60, 401,122.80 and 178,711.20 is: 268,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,357.60 : 401,122.80 = 178,711.20 : x
  2. Step 2: Convert to fraction form
    267,357.60/401,122.80 = 178,711.20/x
  3. Step 3: Cross multiply
    267,357.60x = 401,122.80 × 178,711.20
  4. Step 4: Simplify right side
    267,357.60x = 71,685,136,935.36
  5. Step 5: Solve for x
    x = 71,685,136,935.36/267,357.60
  6. Step 6: Final answer
    x = 268,124.55

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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.