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Finding the Fourth Proportional to 147,525.71, 203,583.38 and 82,990.04

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Solution

The fourth proportional to 147,525.71, 203,583.38 and 82,990.04 is: 114,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,525.71 : 203,583.38 = 82,990.04 : x
  2. Step 2: Convert to fraction form
    147,525.71/203,583.38 = 82,990.04/x
  3. Step 3: Cross multiply
    147,525.71x = 203,583.38 × 82,990.04
  4. Step 4: Simplify right side
    147,525.71x = 16,895,391,416.67
  5. Step 5: Solve for x
    x = 16,895,391,416.67/147,525.71
  6. Step 6: Final answer
    x = 114,525.07

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Why These Related Problems?

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