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Finding the Fourth Proportional to 109,659.68, 164,539.60 and 59,664.80

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Solution

The fourth proportional to 109,659.68, 164,539.60 and 59,664.80 is: 89,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.68 : 164,539.60 = 59,664.80 : x
  2. Step 2: Convert to fraction form
    109,659.68/164,539.60 = 59,664.80/x
  3. Step 3: Cross multiply
    109,659.68x = 164,539.60 × 59,664.80
  4. Step 4: Simplify right side
    109,659.68x = 9,817,222,326.08
  5. Step 5: Solve for x
    x = 9,817,222,326.08/109,659.68
  6. Step 6: Final answer
    x = 89,524.45

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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.