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Finding the Fourth Proportional to 217,772.28, 326,704.59 and 77,530.50

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Solution

The fourth proportional to 217,772.28, 326,704.59 and 77,530.50 is: 116,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,772.28 : 326,704.59 = 77,530.50 : x
  2. Step 2: Convert to fraction form
    217,772.28/326,704.59 = 77,530.50/x
  3. Step 3: Cross multiply
    217,772.28x = 326,704.59 × 77,530.50
  4. Step 4: Simplify right side
    217,772.28x = 25,329,570,215.00
  5. Step 5: Solve for x
    x = 25,329,570,215.00/217,772.28
  6. Step 6: Final answer
    x = 116,312.19

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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.