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Finding the Fourth Proportional to 274,502.59, 378,809.84 and 153,643.84

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Solution

The fourth proportional to 274,502.59, 378,809.84 and 153,643.84 is: 212,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,502.59 : 378,809.84 = 153,643.84 : x
  2. Step 2: Convert to fraction form
    274,502.59/378,809.84 = 153,643.84/x
  3. Step 3: Cross multiply
    274,502.59x = 378,809.84 × 153,643.84
  4. Step 4: Simplify right side
    274,502.59x = 58,201,798,447.39
  5. Step 5: Solve for x
    x = 58,201,798,447.39/274,502.59
  6. Step 6: Final answer
    x = 212,026.41

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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.