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Finding the Fourth Proportional to 198,374.24, 297,186.16 and 153,782.48

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Solution

The fourth proportional to 198,374.24, 297,186.16 and 153,782.48 is: 230,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,374.24 : 297,186.16 = 153,782.48 : x
  2. Step 2: Convert to fraction form
    198,374.24/297,186.16 = 153,782.48/x
  3. Step 3: Cross multiply
    198,374.24x = 297,186.16 × 153,782.48
  4. Step 4: Simplify right side
    198,374.24x = 45,702,024,706.48
  5. Step 5: Solve for x
    x = 45,702,024,706.48/198,374.24
  6. Step 6: Final answer
    x = 230,382.86

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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.