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Finding the Fourth Proportional to 193,898.56, 290,690.92 and 87,204.37

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Solution

The fourth proportional to 193,898.56, 290,690.92 and 87,204.37 is: 130,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,898.56 : 290,690.92 = 87,204.37 : x
  2. Step 2: Convert to fraction form
    193,898.56/290,690.92 = 87,204.37/x
  3. Step 3: Cross multiply
    193,898.56x = 290,690.92 × 87,204.37
  4. Step 4: Simplify right side
    193,898.56x = 25,349,518,543.32
  5. Step 5: Solve for x
    x = 25,349,518,543.32/193,898.56
  6. Step 6: Final answer
    x = 130,735.98

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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.