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Finding the Fourth Proportional to 138,639.38, 191,322.36 and 74,977.16

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Solution

The fourth proportional to 138,639.38, 191,322.36 and 74,977.16 is: 103,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,639.38 : 191,322.36 = 74,977.16 : x
  2. Step 2: Convert to fraction form
    138,639.38/191,322.36 = 74,977.16/x
  3. Step 3: Cross multiply
    138,639.38x = 191,322.36 × 74,977.16
  4. Step 4: Simplify right side
    138,639.38x = 14,344,806,822.41
  5. Step 5: Solve for x
    x = 14,344,806,822.41/138,639.38
  6. Step 6: Final answer
    x = 103,468.49

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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.