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Finding the Fourth Proportional to 206,606.14, 310,075.26 and 106,795.57

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Solution

The fourth proportional to 206,606.14, 310,075.26 and 106,795.57 is: 160,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,606.14 : 310,075.26 = 106,795.57 : x
  2. Step 2: Convert to fraction form
    206,606.14/310,075.26 = 106,795.57/x
  3. Step 3: Cross multiply
    206,606.14x = 310,075.26 × 106,795.57
  4. Step 4: Simplify right side
    206,606.14x = 33,114,664,134.60
  5. Step 5: Solve for x
    x = 33,114,664,134.60/206,606.14
  6. Step 6: Final answer
    x = 160,279.19

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1.5x scale

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.