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Finding the Fourth Proportional to 104,196.36, 143,790.78 and 56,451

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Solution

The fourth proportional to 104,196.36, 143,790.78 and 56,451 is: 77,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,196.36 : 143,790.78 = 56,451 : x
  2. Step 2: Convert to fraction form
    104,196.36/143,790.78 = 56,451/x
  3. Step 3: Cross multiply
    104,196.36x = 143,790.78 × 56,451
  4. Step 4: Simplify right side
    104,196.36x = 8,117,133,321.78
  5. Step 5: Solve for x
    x = 8,117,133,321.78/104,196.36
  6. Step 6: Final answer
    x = 77,902.27

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