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Finding the Fourth Proportional to 224,385.19, 336,596.31 and 161,498.00

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Solution

The fourth proportional to 224,385.19, 336,596.31 and 161,498.00 is: 242,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,385.19 : 336,596.31 = 161,498.00 : x
  2. Step 2: Convert to fraction form
    224,385.19/336,596.31 = 161,498.00/x
  3. Step 3: Cross multiply
    224,385.19x = 336,596.31 × 161,498.00
  4. Step 4: Simplify right side
    224,385.19x = 54,359,631,713.87
  5. Step 5: Solve for x
    x = 54,359,631,713.87/224,385.19
  6. Step 6: Final answer
    x = 242,260.34

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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.