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Finding the Fourth Proportional to 284,097.02, 426,034.78 and 106,507.13

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Solution

The fourth proportional to 284,097.02, 426,034.78 and 106,507.13 is: 159,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,097.02 : 426,034.78 = 106,507.13 : x
  2. Step 2: Convert to fraction form
    284,097.02/426,034.78 = 106,507.13/x
  3. Step 3: Cross multiply
    284,097.02x = 426,034.78 × 106,507.13
  4. Step 4: Simplify right side
    284,097.02x = 45,375,739,035.27
  5. Step 5: Solve for x
    x = 45,375,739,035.27/284,097.02
  6. Step 6: Final answer
    x = 159,719.17

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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.