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Finding the Fourth Proportional to 178,209.60, 267,386.40 and 78,388.80

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Solution

The fourth proportional to 178,209.60, 267,386.40 and 78,388.80 is: 117,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209.60 : 267,386.40 = 78,388.80 : x
  2. Step 2: Convert to fraction form
    178,209.60/267,386.40 = 78,388.80/x
  3. Step 3: Cross multiply
    178,209.60x = 267,386.40 × 78,388.80
  4. Step 4: Simplify right side
    178,209.60x = 20,960,099,032.32
  5. Step 5: Solve for x
    x = 20,960,099,032.32/178,209.60
  6. Step 6: Final answer
    x = 117,614.87

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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.