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Finding the Fourth Proportional to 230,874.30, 346,570.65 and 178,515.90

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Solution

The fourth proportional to 230,874.30, 346,570.65 and 178,515.90 is: 267,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,874.30 : 346,570.65 = 178,515.90 : x
  2. Step 2: Convert to fraction form
    230,874.30/346,570.65 = 178,515.90/x
  3. Step 3: Cross multiply
    230,874.30x = 346,570.65 × 178,515.90
  4. Step 4: Simplify right side
    230,874.30x = 61,868,371,498.34
  5. Step 5: Solve for x
    x = 61,868,371,498.34/230,874.30
  6. Step 6: Final answer
    x = 267,974.27

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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.