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Finding the Fourth Proportional to 267,858.16, 369,641.12 and 154,678.48

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Solution

The fourth proportional to 267,858.16, 369,641.12 and 154,678.48 is: 213,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,858.16 : 369,641.12 = 154,678.48 : x
  2. Step 2: Convert to fraction form
    267,858.16/369,641.12 = 154,678.48/x
  3. Step 3: Cross multiply
    267,858.16x = 369,641.12 × 154,678.48
  4. Step 4: Simplify right side
    267,858.16x = 57,175,526,587.10
  5. Step 5: Solve for x
    x = 57,175,526,587.10/267,858.16
  6. Step 6: Final answer
    x = 213,454.49

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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.