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Finding the Fourth Proportional to 138,141.53, 190,619.87 and 77,710.92

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Solution

The fourth proportional to 138,141.53, 190,619.87 and 77,710.92 is: 107,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,141.53 : 190,619.87 = 77,710.92 : x
  2. Step 2: Convert to fraction form
    138,141.53/190,619.87 = 77,710.92/x
  3. Step 3: Cross multiply
    138,141.53x = 190,619.87 × 77,710.92
  4. Step 4: Simplify right side
    138,141.53x = 14,813,245,079.43
  5. Step 5: Solve for x
    x = 14,813,245,079.43/138,141.53
  6. Step 6: Final answer
    x = 107,232.38

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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.