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Finding the Fourth Proportional to 376,588.48, 564,882.25 and 96,105.74

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Solution

The fourth proportional to 376,588.48, 564,882.25 and 96,105.74 is: 144,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,588.48 : 564,882.25 = 96,105.74 : x
  2. Step 2: Convert to fraction form
    376,588.48/564,882.25 = 96,105.74/x
  3. Step 3: Cross multiply
    376,588.48x = 564,882.25 × 96,105.74
  4. Step 4: Simplify right side
    376,588.48x = 54,288,426,649.12
  5. Step 5: Solve for x
    x = 54,288,426,649.12/376,588.48
  6. Step 6: Final answer
    x = 144,158.49

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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.