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Finding the Fourth Proportional to 193,898.75, 290,845.95 and 75,653.13

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Solution

The fourth proportional to 193,898.75, 290,845.95 and 75,653.13 is: 113,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,898.75 : 290,845.95 = 75,653.13 : x
  2. Step 2: Convert to fraction form
    193,898.75/290,845.95 = 75,653.13/x
  3. Step 3: Cross multiply
    193,898.75x = 290,845.95 × 75,653.13
  4. Step 4: Simplify right side
    193,898.75x = 22,003,406,465.32
  5. Step 5: Solve for x
    x = 22,003,406,465.32/193,898.75
  6. Step 6: Final answer
    x = 113,478.85

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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.