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Finding the Fourth Proportional to 375,824.75, 563,677.12 and 109,522.98

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Solution

The fourth proportional to 375,824.75, 563,677.12 and 109,522.98 is: 164,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,824.75 : 563,677.12 = 109,522.98 : x
  2. Step 2: Convert to fraction form
    375,824.75/563,677.12 = 109,522.98/x
  3. Step 3: Cross multiply
    375,824.75x = 563,677.12 × 109,522.98
  4. Step 4: Simplify right side
    375,824.75x = 61,735,597,940.22
  5. Step 5: Solve for x
    x = 61,735,597,940.22/375,824.75
  6. Step 6: Final answer
    x = 164,266.98

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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.