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Finding the Fourth Proportional to 90,424.30, 135,636.45 and 85,816.30

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Solution

The fourth proportional to 90,424.30, 135,636.45 and 85,816.30 is: 128,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,424.30 : 135,636.45 = 85,816.30 : x
  2. Step 2: Convert to fraction form
    90,424.30/135,636.45 = 85,816.30/x
  3. Step 3: Cross multiply
    90,424.30x = 135,636.45 × 85,816.30
  4. Step 4: Simplify right side
    90,424.30x = 11,639,818,284.14
  5. Step 5: Solve for x
    x = 11,639,818,284.14/90,424.30
  6. Step 6: Final answer
    x = 128,724.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.