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Finding the Fourth Proportional to 267,822.74, 369,594.36 and 146,966.05

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Solution

The fourth proportional to 267,822.74, 369,594.36 and 146,966.05 is: 202,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822.74 : 369,594.36 = 146,966.05 : x
  2. Step 2: Convert to fraction form
    267,822.74/369,594.36 = 146,966.05/x
  3. Step 3: Cross multiply
    267,822.74x = 369,594.36 × 146,966.05
  4. Step 4: Simplify right side
    267,822.74x = 54,317,822,267.49
  5. Step 5: Solve for x
    x = 54,317,822,267.49/267,822.74
  6. Step 6: Final answer
    x = 202,812.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.