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Finding the Fourth Proportional to 199,035.76, 298,554 and 58,892.80

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Solution

The fourth proportional to 199,035.76, 298,554 and 58,892.80 is: 88,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,035.76 : 298,554 = 58,892.80 : x
  2. Step 2: Convert to fraction form
    199,035.76/298,554 = 58,892.80/x
  3. Step 3: Cross multiply
    199,035.76x = 298,554 × 58,892.80
  4. Step 4: Simplify right side
    199,035.76x = 17,582,681,011.20
  5. Step 5: Solve for x
    x = 17,582,681,011.20/199,035.76
  6. Step 6: Final answer
    x = 88,339.31

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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.