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Finding the Fourth Proportional to 100,542.04, 138,658.98 and 76,611.40

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Solution

The fourth proportional to 100,542.04, 138,658.98 and 76,611.40 is: 105,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.04 : 138,658.98 = 76,611.40 : x
  2. Step 2: Convert to fraction form
    100,542.04/138,658.98 = 76,611.40/x
  3. Step 3: Cross multiply
    100,542.04x = 138,658.98 × 76,611.40
  4. Step 4: Simplify right side
    100,542.04x = 10,622,858,580.37
  5. Step 5: Solve for x
    x = 10,622,858,580.37/100,542.04
  6. Step 6: Final answer
    x = 105,655.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.