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Finding the Fourth Proportional to 193,502.25, 290,178.81 and 75,158.01

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Solution

The fourth proportional to 193,502.25, 290,178.81 and 75,158.01 is: 112,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,502.25 : 290,178.81 = 75,158.01 : x
  2. Step 2: Convert to fraction form
    193,502.25/290,178.81 = 75,158.01/x
  3. Step 3: Cross multiply
    193,502.25x = 290,178.81 × 75,158.01
  4. Step 4: Simplify right side
    193,502.25x = 21,809,261,903.77
  5. Step 5: Solve for x
    x = 21,809,261,903.77/193,502.25
  6. Step 6: Final answer
    x = 112,708.05

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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.