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Finding the Fourth Proportional to 267,850, 369,633 and 148,618

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Solution

The fourth proportional to 267,850, 369,633 and 148,618 is: 205,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,850 : 369,633 = 148,618 : x
  2. Step 2: Convert to fraction form
    267,850/369,633 = 148,618/x
  3. Step 3: Cross multiply
    267,850x = 369,633 × 148,618
  4. Step 4: Simplify right side
    267,850x = 54,934,117,194
  5. Step 5: Solve for x
    x = 54,934,117,194/267,850
  6. Step 6: Final answer
    x = 205,092.84

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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.