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Finding the Fourth Proportional to 376,053.52, 564,119.83 and 109,814.78

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Solution

The fourth proportional to 376,053.52, 564,119.83 and 109,814.78 is: 164,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,053.52 : 564,119.83 = 109,814.78 : x
  2. Step 2: Convert to fraction form
    376,053.52/564,119.83 = 109,814.78/x
  3. Step 3: Cross multiply
    376,053.52x = 564,119.83 × 109,814.78
  4. Step 4: Simplify right side
    376,053.52x = 61,948,695,025.09
  5. Step 5: Solve for x
    x = 61,948,695,025.09/376,053.52
  6. Step 6: Final answer
    x = 164,733.72

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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.