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Finding the Fourth Proportional to 104,569.38, 144,305.46 and 56,822.90

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Solution

The fourth proportional to 104,569.38, 144,305.46 and 56,822.90 is: 78,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,569.38 : 144,305.46 = 56,822.90 : x
  2. Step 2: Convert to fraction form
    104,569.38/144,305.46 = 56,822.90/x
  3. Step 3: Cross multiply
    104,569.38x = 144,305.46 × 56,822.90
  4. Step 4: Simplify right side
    104,569.38x = 8,199,854,001.51
  5. Step 5: Solve for x
    x = 8,199,854,001.51/104,569.38
  6. Step 6: Final answer
    x = 78,415.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.