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Finding the Fourth Proportional to 169,539.80, 253,721.04 and 105,471.64

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Solution

The fourth proportional to 169,539.80, 253,721.04 and 105,471.64 is: 157,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,539.80 : 253,721.04 = 105,471.64 : x
  2. Step 2: Convert to fraction form
    169,539.80/253,721.04 = 105,471.64/x
  3. Step 3: Cross multiply
    169,539.80x = 253,721.04 × 105,471.64
  4. Step 4: Simplify right side
    169,539.80x = 26,760,374,191.31
  5. Step 5: Solve for x
    x = 26,760,374,191.31/169,539.80
  6. Step 6: Final answer
    x = 157,841.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.