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Finding the Fourth Proportional to 133,835.68, 200,402.80 and 94,178.08

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Solution

The fourth proportional to 133,835.68, 200,402.80 and 94,178.08 is: 141,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,835.68 : 200,402.80 = 94,178.08 : x
  2. Step 2: Convert to fraction form
    133,835.68/200,402.80 = 94,178.08/x
  3. Step 3: Cross multiply
    133,835.68x = 200,402.80 × 94,178.08
  4. Step 4: Simplify right side
    133,835.68x = 18,873,550,930.62
  5. Step 5: Solve for x
    x = 18,873,550,930.62/133,835.68
  6. Step 6: Final answer
    x = 141,020.32

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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.