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Finding the Fourth Proportional to 222,869.52, 334,265.40 and 102,916.24

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Solution

The fourth proportional to 222,869.52, 334,265.40 and 102,916.24 is: 154,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,869.52 : 334,265.40 = 102,916.24 : x
  2. Step 2: Convert to fraction form
    222,869.52/334,265.40 = 102,916.24/x
  3. Step 3: Cross multiply
    222,869.52x = 334,265.40 × 102,916.24
  4. Step 4: Simplify right side
    222,869.52x = 34,401,338,130.10
  5. Step 5: Solve for x
    x = 34,401,338,130.10/222,869.52
  6. Step 6: Final answer
    x = 154,356.41

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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.