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Finding the Fourth Proportional to 138,598.30, 191,265.93 and 74,936.10

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Solution

The fourth proportional to 138,598.30, 191,265.93 and 74,936.10 is: 103,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,598.30 : 191,265.93 = 74,936.10 : x
  2. Step 2: Convert to fraction form
    138,598.30/191,265.93 = 74,936.10/x
  3. Step 3: Cross multiply
    138,598.30x = 191,265.93 × 74,936.10
  4. Step 4: Simplify right side
    138,598.30x = 14,332,722,857.07
  5. Step 5: Solve for x
    x = 14,332,722,857.07/138,598.30
  6. Step 6: Final answer
    x = 103,411.97

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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.