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Finding the Fourth Proportional to 274,073.51, 378,224.13 and 153,221.40

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Solution

The fourth proportional to 274,073.51, 378,224.13 and 153,221.40 is: 211,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,073.51 : 378,224.13 = 153,221.40 : x
  2. Step 2: Convert to fraction form
    274,073.51/378,224.13 = 153,221.40/x
  3. Step 3: Cross multiply
    274,073.51x = 378,224.13 × 153,221.40
  4. Step 4: Simplify right side
    274,073.51x = 57,952,030,712.38
  5. Step 5: Solve for x
    x = 57,952,030,712.38/274,073.51
  6. Step 6: Final answer
    x = 211,447.04

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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.