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Finding the Fourth Proportional to 216,195.60, 324,294.48 and 97,728.24

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Solution

The fourth proportional to 216,195.60, 324,294.48 and 97,728.24 is: 146,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,195.60 : 324,294.48 = 97,728.24 : x
  2. Step 2: Convert to fraction form
    216,195.60/324,294.48 = 97,728.24/x
  3. Step 3: Cross multiply
    216,195.60x = 324,294.48 × 97,728.24
  4. Step 4: Simplify right side
    216,195.60x = 31,692,728,772.12
  5. Step 5: Solve for x
    x = 31,692,728,772.12/216,195.60
  6. Step 6: Final answer
    x = 146,592.85

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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.