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Finding the Fourth Proportional to 198,460.72, 297,695.94 and 58,223.80

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Solution

The fourth proportional to 198,460.72, 297,695.94 and 58,223.80 is: 87,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,460.72 : 297,695.94 = 58,223.80 : x
  2. Step 2: Convert to fraction form
    198,460.72/297,695.94 = 58,223.80/x
  3. Step 3: Cross multiply
    198,460.72x = 297,695.94 × 58,223.80
  4. Step 4: Simplify right side
    198,460.72x = 17,332,988,871.37
  5. Step 5: Solve for x
    x = 17,332,988,871.37/198,460.72
  6. Step 6: Final answer
    x = 87,337.13

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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.