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Finding the Fourth Proportional to 193,854.33, 290,051.01 and 174,187.71

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Solution

The fourth proportional to 193,854.33, 290,051.01 and 174,187.71 is: 260,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,854.33 : 290,051.01 = 174,187.71 : x
  2. Step 2: Convert to fraction form
    193,854.33/290,051.01 = 174,187.71/x
  3. Step 3: Cross multiply
    193,854.33x = 290,051.01 × 174,187.71
  4. Step 4: Simplify right side
    193,854.33x = 50,523,321,215.09
  5. Step 5: Solve for x
    x = 50,523,321,215.09/193,854.33
  6. Step 6: Final answer
    x = 260,625.19

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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.