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Finding the Fourth Proportional to 199,732.23, 299,595.31 and 59,490.86

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Solution

The fourth proportional to 199,732.23, 299,595.31 and 59,490.86 is: 89,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,732.23 : 299,595.31 = 59,490.86 : x
  2. Step 2: Convert to fraction form
    199,732.23/299,595.31 = 59,490.86/x
  3. Step 3: Cross multiply
    199,732.23x = 299,595.31 × 59,490.86
  4. Step 4: Simplify right side
    199,732.23x = 17,823,180,997.16
  5. Step 5: Solve for x
    x = 17,823,180,997.16/199,732.23
  6. Step 6: Final answer
    x = 89,235.38

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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.