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Finding the Fourth Proportional to 104,102.93, 143,663.19 and 56,357.30

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Solution

The fourth proportional to 104,102.93, 143,663.19 and 56,357.30 is: 77,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.93 : 143,663.19 = 56,357.30 : x
  2. Step 2: Convert to fraction form
    104,102.93/143,663.19 = 56,357.30/x
  3. Step 3: Cross multiply
    104,102.93x = 143,663.19 × 56,357.30
  4. Step 4: Simplify right side
    104,102.93x = 8,096,469,497.79
  5. Step 5: Solve for x
    x = 8,096,469,497.79/104,102.93
  6. Step 6: Final answer
    x = 77,773.69

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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.