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Finding the Fourth Proportional to 138,411.44, 191,007.77 and 74,749.23

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Solution

The fourth proportional to 138,411.44, 191,007.77 and 74,749.23 is: 103,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.44 : 191,007.77 = 74,749.23 : x
  2. Step 2: Convert to fraction form
    138,411.44/191,007.77 = 74,749.23/x
  3. Step 3: Cross multiply
    138,411.44x = 191,007.77 × 74,749.23
  4. Step 4: Simplify right side
    138,411.44x = 14,277,682,776.48
  5. Step 5: Solve for x
    x = 14,277,682,776.48/138,411.44
  6. Step 6: Final answer
    x = 103,153.92

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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.