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Finding the Fourth Proportional to 104,212.98, 143,813.48 and 56,466.52

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Solution

The fourth proportional to 104,212.98, 143,813.48 and 56,466.52 is: 77,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,212.98 : 143,813.48 = 56,466.52 : x
  2. Step 2: Convert to fraction form
    104,212.98/143,813.48 = 56,466.52/x
  3. Step 3: Cross multiply
    104,212.98x = 143,813.48 × 56,466.52
  4. Step 4: Simplify right side
    104,212.98x = 8,120,646,102.82
  5. Step 5: Solve for x
    x = 8,120,646,102.82/104,212.98
  6. Step 6: Final answer
    x = 77,923.56

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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.