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Finding the Fourth Proportional to 138,858.71, 191,624.64 and 75,196.49

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Solution

The fourth proportional to 138,858.71, 191,624.64 and 75,196.49 is: 103,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.71 : 191,624.64 = 75,196.49 : x
  2. Step 2: Convert to fraction form
    138,858.71/191,624.64 = 75,196.49/x
  3. Step 3: Cross multiply
    138,858.71x = 191,624.64 × 75,196.49
  4. Step 4: Simplify right side
    138,858.71x = 14,409,499,085.40
  5. Step 5: Solve for x
    x = 14,409,499,085.40/138,858.71
  6. Step 6: Final answer
    x = 103,770.95

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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.