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Finding the Fourth Proportional to 193,551.96, 290,214.92 and 75,084.86

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Solution

The fourth proportional to 193,551.96, 290,214.92 and 75,084.86 is: 112,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,551.96 : 290,214.92 = 75,084.86 : x
  2. Step 2: Convert to fraction form
    193,551.96/290,214.92 = 75,084.86/x
  3. Step 3: Cross multiply
    193,551.96x = 290,214.92 × 75,084.86
  4. Step 4: Simplify right side
    193,551.96x = 21,790,746,638.11
  5. Step 5: Solve for x
    x = 21,790,746,638.11/193,551.96
  6. Step 6: Final answer
    x = 112,583.45

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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.