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Finding the Fourth Proportional to 198,598.91, 297,895.73 and 48,840.48

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Solution

The fourth proportional to 198,598.91, 297,895.73 and 48,840.48 is: 73,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.91 : 297,895.73 = 48,840.48 : x
  2. Step 2: Convert to fraction form
    198,598.91/297,895.73 = 48,840.48/x
  3. Step 3: Cross multiply
    198,598.91x = 297,895.73 × 48,840.48
  4. Step 4: Simplify right side
    198,598.91x = 14,549,370,198.95
  5. Step 5: Solve for x
    x = 14,549,370,198.95/198,598.91
  6. Step 6: Final answer
    x = 73,260.07

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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.