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Finding the Fourth Proportional to 193,378.56, 290,060.52 and 53,133.52

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Solution

The fourth proportional to 193,378.56, 290,060.52 and 53,133.52 is: 79,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,378.56 : 290,060.52 = 53,133.52 : x
  2. Step 2: Convert to fraction form
    193,378.56/290,060.52 = 53,133.52/x
  3. Step 3: Cross multiply
    193,378.56x = 290,060.52 × 53,133.52
  4. Step 4: Simplify right side
    193,378.56x = 15,411,936,440.63
  5. Step 5: Solve for x
    x = 15,411,936,440.63/193,378.56
  6. Step 6: Final answer
    x = 79,698.27

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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.