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Finding the Fourth Proportional to 188,430.30, 282,645.45 and 83,454.30

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Solution

The fourth proportional to 188,430.30, 282,645.45 and 83,454.30 is: 125,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,430.30 : 282,645.45 = 83,454.30 : x
  2. Step 2: Convert to fraction form
    188,430.30/282,645.45 = 83,454.30/x
  3. Step 3: Cross multiply
    188,430.30x = 282,645.45 × 83,454.30
  4. Step 4: Simplify right side
    188,430.30x = 23,587,978,177.94
  5. Step 5: Solve for x
    x = 23,587,978,177.94/188,430.30
  6. Step 6: Final answer
    x = 125,181.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.