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Finding the Fourth Proportional to 267,284.78, 368,837.49 and 146,405.02

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Solution

The fourth proportional to 267,284.78, 368,837.49 and 146,405.02 is: 202,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,284.78 : 368,837.49 = 146,405.02 : x
  2. Step 2: Convert to fraction form
    267,284.78/368,837.49 = 146,405.02/x
  3. Step 3: Cross multiply
    267,284.78x = 368,837.49 × 146,405.02
  4. Step 4: Simplify right side
    267,284.78x = 53,999,659,178.11
  5. Step 5: Solve for x
    x = 53,999,659,178.11/267,284.78
  6. Step 6: Final answer
    x = 202,030.43

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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.