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Finding the Fourth Proportional to 193,808.09, 290,734.01 and 88,598.81

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Solution

The fourth proportional to 193,808.09, 290,734.01 and 88,598.81 is: 132,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808.09 : 290,734.01 = 88,598.81 : x
  2. Step 2: Convert to fraction form
    193,808.09/290,734.01 = 88,598.81/x
  3. Step 3: Cross multiply
    193,808.09x = 290,734.01 × 88,598.81
  4. Step 4: Simplify right side
    193,808.09x = 25,758,687,928.61
  5. Step 5: Solve for x
    x = 25,758,687,928.61/193,808.09
  6. Step 6: Final answer
    x = 132,908.22

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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.