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Finding the Fourth Proportional to 148,506.16, 204,938.20 and 81,438

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Solution

The fourth proportional to 148,506.16, 204,938.20 and 81,438 is: 112,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,506.16 : 204,938.20 = 81,438 : x
  2. Step 2: Convert to fraction form
    148,506.16/204,938.20 = 81,438/x
  3. Step 3: Cross multiply
    148,506.16x = 204,938.20 × 81,438
  4. Step 4: Simplify right side
    148,506.16x = 16,689,757,131.60
  5. Step 5: Solve for x
    x = 16,689,757,131.60/148,506.16
  6. Step 6: Final answer
    x = 112,384.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.