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Finding the Fourth Proportional to 215,616.30, 323,424.45 and 97,344.30

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Solution

The fourth proportional to 215,616.30, 323,424.45 and 97,344.30 is: 146,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,616.30 : 323,424.45 = 97,344.30 : x
  2. Step 2: Convert to fraction form
    215,616.30/323,424.45 = 97,344.30/x
  3. Step 3: Cross multiply
    215,616.30x = 323,424.45 × 97,344.30
  4. Step 4: Simplify right side
    215,616.30x = 31,483,526,688.14
  5. Step 5: Solve for x
    x = 31,483,526,688.14/215,616.30
  6. Step 6: Final answer
    x = 146,016.45

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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.