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Finding the Fourth Proportional to 147,957.16, 221,929.94 and 81,529

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Solution

The fourth proportional to 147,957.16, 221,929.94 and 81,529 is: 122,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,957.16 : 221,929.94 = 81,529 : x
  2. Step 2: Convert to fraction form
    147,957.16/221,929.94 = 81,529/x
  3. Step 3: Cross multiply
    147,957.16x = 221,929.94 × 81,529
  4. Step 4: Simplify right side
    147,957.16x = 18,093,726,078.26
  5. Step 5: Solve for x
    x = 18,093,726,078.26/147,957.16
  6. Step 6: Final answer
    x = 122,290.30

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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.