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Finding the Fourth Proportional to 147,286.08, 203,190.12 and 99,522

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Solution

The fourth proportional to 147,286.08, 203,190.12 and 99,522 is: 137,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,286.08 : 203,190.12 = 99,522 : x
  2. Step 2: Convert to fraction form
    147,286.08/203,190.12 = 99,522/x
  3. Step 3: Cross multiply
    147,286.08x = 203,190.12 × 99,522
  4. Step 4: Simplify right side
    147,286.08x = 20,221,887,122.64
  5. Step 5: Solve for x
    x = 20,221,887,122.64/147,286.08
  6. Step 6: Final answer
    x = 137,296.66

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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.