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Finding the Fourth Proportional to 375,843.54, 563,705.33 and 109,541.77

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Solution

The fourth proportional to 375,843.54, 563,705.33 and 109,541.77 is: 164,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,843.54 : 563,705.33 = 109,541.77 : x
  2. Step 2: Convert to fraction form
    375,843.54/563,705.33 = 109,541.77/x
  3. Step 3: Cross multiply
    375,843.54x = 563,705.33 × 109,541.77
  4. Step 4: Simplify right side
    375,843.54x = 61,749,277,649.66
  5. Step 5: Solve for x
    x = 61,749,277,649.66/375,843.54
  6. Step 6: Final answer
    x = 164,295.17

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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.