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Finding the Fourth Proportional to 221,713.04, 305,963.52 and 121,111.04

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Solution

The fourth proportional to 221,713.04, 305,963.52 and 121,111.04 is: 167,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,713.04 : 305,963.52 = 121,111.04 : x
  2. Step 2: Convert to fraction form
    221,713.04/305,963.52 = 121,111.04/x
  3. Step 3: Cross multiply
    221,713.04x = 305,963.52 × 121,111.04
  4. Step 4: Simplify right side
    221,713.04x = 37,055,560,109.26
  5. Step 5: Solve for x
    x = 37,055,560,109.26/221,713.04
  6. Step 6: Final answer
    x = 167,132.98

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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.