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Finding the Fourth Proportional to 216,565.84, 324,904.08 and 90,164.20

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Solution

The fourth proportional to 216,565.84, 324,904.08 and 90,164.20 is: 135,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,565.84 : 324,904.08 = 90,164.20 : x
  2. Step 2: Convert to fraction form
    216,565.84/324,904.08 = 90,164.20/x
  3. Step 3: Cross multiply
    216,565.84x = 324,904.08 × 90,164.20
  4. Step 4: Simplify right side
    216,565.84x = 29,294,716,449.94
  5. Step 5: Solve for x
    x = 29,294,716,449.94/216,565.84
  6. Step 6: Final answer
    x = 135,269.33

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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.