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Finding the Fourth Proportional to 104,202.36, 143,799.06 and 56,457

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Solution

The fourth proportional to 104,202.36, 143,799.06 and 56,457 is: 77,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,202.36 : 143,799.06 = 56,457 : x
  2. Step 2: Convert to fraction form
    104,202.36/143,799.06 = 56,457/x
  3. Step 3: Cross multiply
    104,202.36x = 143,799.06 × 56,457
  4. Step 4: Simplify right side
    104,202.36x = 8,118,463,530.42
  5. Step 5: Solve for x
    x = 8,118,463,530.42/104,202.36
  6. Step 6: Final answer
    x = 77,910.55

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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.