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Finding the Fourth Proportional to 375,813.23, 563,659.82 and 109,511.59

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Solution

The fourth proportional to 375,813.23, 563,659.82 and 109,511.59 is: 164,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,813.23 : 563,659.82 = 109,511.59 : x
  2. Step 2: Convert to fraction form
    375,813.23/563,659.82 = 109,511.59/x
  3. Step 3: Cross multiply
    375,813.23x = 563,659.82 × 109,511.59
  4. Step 4: Simplify right side
    375,813.23x = 61,727,281,971.94
  5. Step 5: Solve for x
    x = 61,727,281,971.94/375,813.23
  6. Step 6: Final answer
    x = 164,249.89

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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.