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Finding the Fourth Proportional to 221,907.80, 333,080.40 and 109,714.70

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Solution

The fourth proportional to 221,907.80, 333,080.40 and 109,714.70 is: 164,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,907.80 : 333,080.40 = 109,714.70 : x
  2. Step 2: Convert to fraction form
    221,907.80/333,080.40 = 109,714.70/x
  3. Step 3: Cross multiply
    221,907.80x = 333,080.40 × 109,714.70
  4. Step 4: Simplify right side
    221,907.80x = 36,543,816,161.88
  5. Step 5: Solve for x
    x = 36,543,816,161.88/221,907.80
  6. Step 6: Final answer
    x = 164,680.18

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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.