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Finding the Fourth Proportional to 169,447.30, 233,645.53 and 108,111.40

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Solution

The fourth proportional to 169,447.30, 233,645.53 and 108,111.40 is: 149,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,447.30 : 233,645.53 = 108,111.40 : x
  2. Step 2: Convert to fraction form
    169,447.30/233,645.53 = 108,111.40/x
  3. Step 3: Cross multiply
    169,447.30x = 233,645.53 × 108,111.40
  4. Step 4: Simplify right side
    169,447.30x = 25,259,745,352.04
  5. Step 5: Solve for x
    x = 25,259,745,352.04/169,447.30
  6. Step 6: Final answer
    x = 149,071.39

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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.