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Finding the Fourth Proportional to 105,086.48, 157,451.52 and 63,446

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Solution

The fourth proportional to 105,086.48, 157,451.52 and 63,446 is: 95,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086.48 : 157,451.52 = 63,446 : x
  2. Step 2: Convert to fraction form
    105,086.48/157,451.52 = 63,446/x
  3. Step 3: Cross multiply
    105,086.48x = 157,451.52 × 63,446
  4. Step 4: Simplify right side
    105,086.48x = 9,989,669,137.92
  5. Step 5: Solve for x
    x = 9,989,669,137.92/105,086.48
  6. Step 6: Final answer
    x = 95,061.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.