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Finding the Fourth Proportional to 178,037.60, 267,056.40 and 171,816.80

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Solution

The fourth proportional to 178,037.60, 267,056.40 and 171,816.80 is: 257,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,037.60 : 267,056.40 = 171,816.80 : x
  2. Step 2: Convert to fraction form
    178,037.60/267,056.40 = 171,816.80/x
  3. Step 3: Cross multiply
    178,037.60x = 267,056.40 × 171,816.80
  4. Step 4: Simplify right side
    178,037.60x = 45,884,776,067.52
  5. Step 5: Solve for x
    x = 45,884,776,067.52/178,037.60
  6. Step 6: Final answer
    x = 257,725.20

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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.