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Finding the Fourth Proportional to 106,606.83, 159,515.64 and 85,482.30

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Solution

The fourth proportional to 106,606.83, 159,515.64 and 85,482.30 is: 127,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.83 : 159,515.64 = 85,482.30 : x
  2. Step 2: Convert to fraction form
    106,606.83/159,515.64 = 85,482.30/x
  3. Step 3: Cross multiply
    106,606.83x = 159,515.64 × 85,482.30
  4. Step 4: Simplify right side
    106,606.83x = 13,635,763,793.17
  5. Step 5: Solve for x
    x = 13,635,763,793.17/106,606.83
  6. Step 6: Final answer
    x = 127,907.04

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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.