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Finding the Fourth Proportional to 268,121.14, 401,569.11 and 127,978.18

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Solution

The fourth proportional to 268,121.14, 401,569.11 and 127,978.18 is: 191,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,121.14 : 401,569.11 = 127,978.18 : x
  2. Step 2: Convert to fraction form
    268,121.14/401,569.11 = 127,978.18/x
  3. Step 3: Cross multiply
    268,121.14x = 401,569.11 × 127,978.18
  4. Step 4: Simplify right side
    268,121.14x = 51,392,082,838.10
  5. Step 5: Solve for x
    x = 51,392,082,838.10/268,121.14
  6. Step 6: Final answer
    x = 191,674.87

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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.