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Finding the Fourth Proportional to 267,349.51, 368,942.10 and 146,498.32

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Solution

The fourth proportional to 267,349.51, 368,942.10 and 146,498.32 is: 202,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,349.51 : 368,942.10 = 146,498.32 : x
  2. Step 2: Convert to fraction form
    267,349.51/368,942.10 = 146,498.32/x
  3. Step 3: Cross multiply
    267,349.51x = 368,942.10 × 146,498.32
  4. Step 4: Simplify right side
    267,349.51x = 54,049,397,827.27
  5. Step 5: Solve for x
    x = 54,049,397,827.27/267,349.51
  6. Step 6: Final answer
    x = 202,167.56

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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.