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Finding the Fourth Proportional to 105,706, 145,887.24 and 60,994

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Solution

The fourth proportional to 105,706, 145,887.24 and 60,994 is: 84,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,706 : 145,887.24 = 60,994 : x
  2. Step 2: Convert to fraction form
    105,706/145,887.24 = 60,994/x
  3. Step 3: Cross multiply
    105,706x = 145,887.24 × 60,994
  4. Step 4: Simplify right side
    105,706x = 8,898,246,316.56
  5. Step 5: Solve for x
    x = 8,898,246,316.56/105,706
  6. Step 6: Final answer
    x = 84,179.20

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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.