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Finding the Fourth Proportional to 375,614.82, 563,423.26 and 109,381.86

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Solution

The fourth proportional to 375,614.82, 563,423.26 and 109,381.86 is: 164,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,614.82 : 563,423.26 = 109,381.86 : x
  2. Step 2: Convert to fraction form
    375,614.82/563,423.26 = 109,381.86/x
  3. Step 3: Cross multiply
    375,614.82x = 563,423.26 × 109,381.86
  4. Step 4: Simplify right side
    375,614.82x = 61,628,284,146.06
  5. Step 5: Solve for x
    x = 61,628,284,146.06/375,614.82
  6. Step 6: Final answer
    x = 164,073.09

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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.