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Finding the Fourth Proportional to 230,448.80, 345,932.40 and 178,090.40

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Solution

The fourth proportional to 230,448.80, 345,932.40 and 178,090.40 is: 267,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,448.80 : 345,932.40 = 178,090.40 : x
  2. Step 2: Convert to fraction form
    230,448.80/345,932.40 = 178,090.40/x
  3. Step 3: Cross multiply
    230,448.80x = 345,932.40 × 178,090.40
  4. Step 4: Simplify right side
    230,448.80x = 61,607,239,488.96
  5. Step 5: Solve for x
    x = 61,607,239,488.96/230,448.80
  6. Step 6: Final answer
    x = 267,335.91

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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.