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Finding the Fourth Proportional to 126,707.28, 174,828.13 and 75,712.38

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Solution

The fourth proportional to 126,707.28, 174,828.13 and 75,712.38 is: 104,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,707.28 : 174,828.13 = 75,712.38 : x
  2. Step 2: Convert to fraction form
    126,707.28/174,828.13 = 75,712.38/x
  3. Step 3: Cross multiply
    126,707.28x = 174,828.13 × 75,712.38
  4. Step 4: Simplify right side
    126,707.28x = 13,236,653,813.25
  5. Step 5: Solve for x
    x = 13,236,653,813.25/126,707.28
  6. Step 6: Final answer
    x = 104,466.40

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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.