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Finding the Fourth Proportional to 268,486.40, 402,268.80 and 127,942.40

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Solution

The fourth proportional to 268,486.40, 402,268.80 and 127,942.40 is: 191,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,486.40 : 402,268.80 = 127,942.40 : x
  2. Step 2: Convert to fraction form
    268,486.40/402,268.80 = 127,942.40/x
  3. Step 3: Cross multiply
    268,486.40x = 402,268.80 × 127,942.40
  4. Step 4: Simplify right side
    268,486.40x = 51,467,235,717.12
  5. Step 5: Solve for x
    x = 51,467,235,717.12/268,486.40
  6. Step 6: Final answer
    x = 191,694.01

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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.