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Finding the Fourth Proportional to 193,784, 290,642.40 and 53,504.96

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Solution

The fourth proportional to 193,784, 290,642.40 and 53,504.96 is: 80,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,784 : 290,642.40 = 53,504.96 : x
  2. Step 2: Convert to fraction form
    193,784/290,642.40 = 53,504.96/x
  3. Step 3: Cross multiply
    193,784x = 290,642.40 × 53,504.96
  4. Step 4: Simplify right side
    193,784x = 15,550,809,986.30
  5. Step 5: Solve for x
    x = 15,550,809,986.30/193,784
  6. Step 6: Final answer
    x = 80,248.16

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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.