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Finding the Fourth Proportional to 267,719.49, 369,457.83 and 146,866.95

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Solution

The fourth proportional to 267,719.49, 369,457.83 and 146,866.95 is: 202,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,719.49 : 369,457.83 = 146,866.95 : x
  2. Step 2: Convert to fraction form
    267,719.49/369,457.83 = 146,866.95/x
  3. Step 3: Cross multiply
    267,719.49x = 369,457.83 × 146,866.95
  4. Step 4: Simplify right side
    267,719.49x = 54,261,144,645.72
  5. Step 5: Solve for x
    x = 54,261,144,645.72/267,719.49
  6. Step 6: Final answer
    x = 202,679.10

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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.