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Finding the Fourth Proportional to 194,914.80, 292,226.40 and 106,268.40

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Solution

The fourth proportional to 194,914.80, 292,226.40 and 106,268.40 is: 159,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,914.80 : 292,226.40 = 106,268.40 : x
  2. Step 2: Convert to fraction form
    194,914.80/292,226.40 = 106,268.40/x
  3. Step 3: Cross multiply
    194,914.80x = 292,226.40 × 106,268.40
  4. Step 4: Simplify right side
    194,914.80x = 31,054,431,965.76
  5. Step 5: Solve for x
    x = 31,054,431,965.76/194,914.80
  6. Step 6: Final answer
    x = 159,323.11

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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.