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Finding the Fourth Proportional to 123,977.60, 185,966.40 and 118,728.80

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Solution

The fourth proportional to 123,977.60, 185,966.40 and 118,728.80 is: 178,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,977.60 : 185,966.40 = 118,728.80 : x
  2. Step 2: Convert to fraction form
    123,977.60/185,966.40 = 118,728.80/x
  3. Step 3: Cross multiply
    123,977.60x = 185,966.40 × 118,728.80
  4. Step 4: Simplify right side
    123,977.60x = 22,079,567,512.32
  5. Step 5: Solve for x
    x = 22,079,567,512.32/123,977.60
  6. Step 6: Final answer
    x = 178,093.20

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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.