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Finding the Fourth Proportional to 267,536.20, 369,199.86 and 146,674.89

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Solution

The fourth proportional to 267,536.20, 369,199.86 and 146,674.89 is: 202,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,536.20 : 369,199.86 = 146,674.89 : x
  2. Step 2: Convert to fraction form
    267,536.20/369,199.86 = 146,674.89/x
  3. Step 3: Cross multiply
    267,536.20x = 369,199.86 × 146,674.89
  4. Step 4: Simplify right side
    267,536.20x = 54,152,348,853.52
  5. Step 5: Solve for x
    x = 54,152,348,853.52/267,536.20
  6. Step 6: Final answer
    x = 202,411.30

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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.