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Finding the Fourth Proportional to 135,712.50, 187,283.34 and 76,096.50

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Solution

The fourth proportional to 135,712.50, 187,283.34 and 76,096.50 is: 105,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712.50 : 187,283.34 = 76,096.50 : x
  2. Step 2: Convert to fraction form
    135,712.50/187,283.34 = 76,096.50/x
  3. Step 3: Cross multiply
    135,712.50x = 187,283.34 × 76,096.50
  4. Step 4: Simplify right side
    135,712.50x = 14,251,606,682.31
  5. Step 5: Solve for x
    x = 14,251,606,682.31/135,712.50
  6. Step 6: Final answer
    x = 105,013.22

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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.