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Finding the Fourth Proportional to 381,130.64, 571,696.68 and 114,967.34

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Solution

The fourth proportional to 381,130.64, 571,696.68 and 114,967.34 is: 172,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,130.64 : 571,696.68 = 114,967.34 : x
  2. Step 2: Convert to fraction form
    381,130.64/571,696.68 = 114,967.34/x
  3. Step 3: Cross multiply
    381,130.64x = 571,696.68 × 114,967.34
  4. Step 4: Simplify right side
    381,130.64x = 65,726,446,586.43
  5. Step 5: Solve for x
    x = 65,726,446,586.43/381,130.64
  6. Step 6: Final answer
    x = 172,451.23

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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.