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Finding the Fourth Proportional to 239,496.64, 359,010.24 and 204,038.08

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Solution

The fourth proportional to 239,496.64, 359,010.24 and 204,038.08 is: 305,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,496.64 : 359,010.24 = 204,038.08 : x
  2. Step 2: Convert to fraction form
    239,496.64/359,010.24 = 204,038.08/x
  3. Step 3: Cross multiply
    239,496.64x = 359,010.24 × 204,038.08
  4. Step 4: Simplify right side
    239,496.64x = 73,251,760,069.94
  5. Step 5: Solve for x
    x = 73,251,760,069.94/239,496.64
  6. Step 6: Final answer
    x = 305,857.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.