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Finding the Fourth Proportional to 267,292.98, 368,851.14 and 146,434.86

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Solution

The fourth proportional to 267,292.98, 368,851.14 and 146,434.86 is: 202,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,292.98 : 368,851.14 = 146,434.86 : x
  2. Step 2: Convert to fraction form
    267,292.98/368,851.14 = 146,434.86/x
  3. Step 3: Cross multiply
    267,292.98x = 368,851.14 × 146,434.86
  4. Step 4: Simplify right side
    267,292.98x = 54,012,665,046.74
  5. Step 5: Solve for x
    x = 54,012,665,046.74/267,292.98
  6. Step 6: Final answer
    x = 202,072.89

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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.