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Finding the Fourth Proportional to 234,840.52, 324,077.01 and 127,409.77

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Solution

The fourth proportional to 234,840.52, 324,077.01 and 127,409.77 is: 175,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,840.52 : 324,077.01 = 127,409.77 : x
  2. Step 2: Convert to fraction form
    234,840.52/324,077.01 = 127,409.77/x
  3. Step 3: Cross multiply
    234,840.52x = 324,077.01 × 127,409.77
  4. Step 4: Simplify right side
    234,840.52x = 41,290,576,680.57
  5. Step 5: Solve for x
    x = 41,290,576,680.57/234,840.52
  6. Step 6: Final answer
    x = 175,823.90

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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.