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Finding the Fourth Proportional to 104,160.90, 143,742 and 56,414.24

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Solution

The fourth proportional to 104,160.90, 143,742 and 56,414.24 is: 77,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,160.90 : 143,742 = 56,414.24 : x
  2. Step 2: Convert to fraction form
    104,160.90/143,742 = 56,414.24/x
  3. Step 3: Cross multiply
    104,160.90x = 143,742 × 56,414.24
  4. Step 4: Simplify right side
    104,160.90x = 8,109,095,686.08
  5. Step 5: Solve for x
    x = 8,109,095,686.08/104,160.90
  6. Step 6: Final answer
    x = 77,851.63

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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.