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Finding the Fourth Proportional to 127,357.92, 190,774.35 and 74,607.48

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Solution

The fourth proportional to 127,357.92, 190,774.35 and 74,607.48 is: 111,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,357.92 : 190,774.35 = 74,607.48 : x
  2. Step 2: Convert to fraction form
    127,357.92/190,774.35 = 74,607.48/x
  3. Step 3: Cross multiply
    127,357.92x = 190,774.35 × 74,607.48
  4. Step 4: Simplify right side
    127,357.92x = 14,233,193,502.14
  5. Step 5: Solve for x
    x = 14,233,193,502.14/127,357.92
  6. Step 6: Final answer
    x = 111,757.43

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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.