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Finding the Fourth Proportional to 267,235.18, 368,784.70 and 146,378.48

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Solution

The fourth proportional to 267,235.18, 368,784.70 and 146,378.48 is: 202,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,235.18 : 368,784.70 = 146,378.48 : x
  2. Step 2: Convert to fraction form
    267,235.18/368,784.70 = 146,378.48/x
  3. Step 3: Cross multiply
    267,235.18x = 368,784.70 × 146,378.48
  4. Step 4: Simplify right side
    267,235.18x = 53,982,143,833.26
  5. Step 5: Solve for x
    x = 53,982,143,833.26/267,235.18
  6. Step 6: Final answer
    x = 202,002.39

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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.