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Finding the Fourth Proportional to 109,298.80, 150,837.96 and 66,844

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Solution

The fourth proportional to 109,298.80, 150,837.96 and 66,844 is: 92,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,298.80 : 150,837.96 = 66,844 : x
  2. Step 2: Convert to fraction form
    109,298.80/150,837.96 = 66,844/x
  3. Step 3: Cross multiply
    109,298.80x = 150,837.96 × 66,844
  4. Step 4: Simplify right side
    109,298.80x = 10,082,612,598.24
  5. Step 5: Solve for x
    x = 10,082,612,598.24/109,298.80
  6. Step 6: Final answer
    x = 92,248.15

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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.