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Finding the Fourth Proportional to 375,846.89, 563,715.65 and 109,535.90

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Solution

The fourth proportional to 375,846.89, 563,715.65 and 109,535.90 is: 164,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,846.89 : 563,715.65 = 109,535.90 : x
  2. Step 2: Convert to fraction form
    375,846.89/563,715.65 = 109,535.90/x
  3. Step 3: Cross multiply
    375,846.89x = 563,715.65 × 109,535.90
  4. Step 4: Simplify right side
    375,846.89x = 61,747,098,522.10
  5. Step 5: Solve for x
    x = 61,747,098,522.10/375,846.89
  6. Step 6: Final answer
    x = 164,287.91

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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.