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Finding the Fourth Proportional to 119,164.52, 178,822.12 and 66,608.48

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Solution

The fourth proportional to 119,164.52, 178,822.12 and 66,608.48 is: 99,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.52 : 178,822.12 = 66,608.48 : x
  2. Step 2: Convert to fraction form
    119,164.52/178,822.12 = 66,608.48/x
  3. Step 3: Cross multiply
    119,164.52x = 178,822.12 × 66,608.48
  4. Step 4: Simplify right side
    119,164.52x = 11,911,069,603.58
  5. Step 5: Solve for x
    x = 11,911,069,603.58/119,164.52
  6. Step 6: Final answer
    x = 99,954.83

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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.