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Finding the Fourth Proportional to 135,998, 187,688.76 and 76,393.52

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Solution

The fourth proportional to 135,998, 187,688.76 and 76,393.52 is: 105,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,998 : 187,688.76 = 76,393.52 : x
  2. Step 2: Convert to fraction form
    135,998/187,688.76 = 76,393.52/x
  3. Step 3: Cross multiply
    135,998x = 187,688.76 × 76,393.52
  4. Step 4: Simplify right side
    135,998x = 14,338,205,040.84
  5. Step 5: Solve for x
    x = 14,338,205,040.84/135,998
  6. Step 6: Final answer
    x = 105,429.53

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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.