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Finding the Fourth Proportional to 138,914.39, 191,701.69 and 75,252.45

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Solution

The fourth proportional to 138,914.39, 191,701.69 and 75,252.45 is: 103,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,914.39 : 191,701.69 = 75,252.45 : x
  2. Step 2: Convert to fraction form
    138,914.39/191,701.69 = 75,252.45/x
  3. Step 3: Cross multiply
    138,914.39x = 191,701.69 × 75,252.45
  4. Step 4: Simplify right side
    138,914.39x = 14,426,021,465.38
  5. Step 5: Solve for x
    x = 14,426,021,465.38/138,914.39
  6. Step 6: Final answer
    x = 103,848.29

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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.