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Finding the Fourth Proportional to 204,455.88, 282,156.84 and 123,837.48

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Solution

The fourth proportional to 204,455.88, 282,156.84 and 123,837.48 is: 170,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,455.88 : 282,156.84 = 123,837.48 : x
  2. Step 2: Convert to fraction form
    204,455.88/282,156.84 = 123,837.48/x
  3. Step 3: Cross multiply
    204,455.88x = 282,156.84 × 123,837.48
  4. Step 4: Simplify right side
    204,455.88x = 34,941,592,030.36
  5. Step 5: Solve for x
    x = 34,941,592,030.36/204,455.88
  6. Step 6: Final answer
    x = 170,900.40

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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.