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Finding the Fourth Proportional to 188,468.30, 282,702.45 and 83,233.10

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Solution

The fourth proportional to 188,468.30, 282,702.45 and 83,233.10 is: 124,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.30 : 282,702.45 = 83,233.10 : x
  2. Step 2: Convert to fraction form
    188,468.30/282,702.45 = 83,233.10/x
  3. Step 3: Cross multiply
    188,468.30x = 282,702.45 × 83,233.10
  4. Step 4: Simplify right side
    188,468.30x = 23,530,201,291.10
  5. Step 5: Solve for x
    x = 23,530,201,291.10/188,468.30
  6. Step 6: Final answer
    x = 124,849.65

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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.