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Finding the Fourth Proportional to 375,876.25, 563,842.05 and 109,643.85

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Solution

The fourth proportional to 375,876.25, 563,842.05 and 109,643.85 is: 164,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,876.25 : 563,842.05 = 109,643.85 : x
  2. Step 2: Convert to fraction form
    375,876.25/563,842.05 = 109,643.85/x
  3. Step 3: Cross multiply
    375,876.25x = 563,842.05 × 109,643.85
  4. Step 4: Simplify right side
    375,876.25x = 61,821,812,742.73
  5. Step 5: Solve for x
    x = 61,821,812,742.73/375,876.25
  6. Step 6: Final answer
    x = 164,473.85

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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.