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Finding the Fourth Proportional to 188,575.20, 282,862.80 and 146,584.80

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Solution

The fourth proportional to 188,575.20, 282,862.80 and 146,584.80 is: 219,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,575.20 : 282,862.80 = 146,584.80 : x
  2. Step 2: Convert to fraction form
    188,575.20/282,862.80 = 146,584.80/x
  3. Step 3: Cross multiply
    188,575.20x = 282,862.80 × 146,584.80
  4. Step 4: Simplify right side
    188,575.20x = 41,463,386,965.44
  5. Step 5: Solve for x
    x = 41,463,386,965.44/188,575.20
  6. Step 6: Final answer
    x = 219,877.20

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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.