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Finding the Fourth Proportional to 206,075.80, 309,113.70 and 73,106.20

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Solution

The fourth proportional to 206,075.80, 309,113.70 and 73,106.20 is: 109,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,075.80 : 309,113.70 = 73,106.20 : x
  2. Step 2: Convert to fraction form
    206,075.80/309,113.70 = 73,106.20/x
  3. Step 3: Cross multiply
    206,075.80x = 309,113.70 × 73,106.20
  4. Step 4: Simplify right side
    206,075.80x = 22,598,127,974.94
  5. Step 5: Solve for x
    x = 22,598,127,974.94/206,075.80
  6. Step 6: Final answer
    x = 109,659.30

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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.