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Finding the Fourth Proportional to 147,774.38, 203,928.87 and 84,112.17

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Solution

The fourth proportional to 147,774.38, 203,928.87 and 84,112.17 is: 116,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,774.38 : 203,928.87 = 84,112.17 : x
  2. Step 2: Convert to fraction form
    147,774.38/203,928.87 = 84,112.17/x
  3. Step 3: Cross multiply
    147,774.38x = 203,928.87 × 84,112.17
  4. Step 4: Simplify right side
    147,774.38x = 17,152,899,769.44
  5. Step 5: Solve for x
    x = 17,152,899,769.44/147,774.38
  6. Step 6: Final answer
    x = 116,074.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.