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Finding the Fourth Proportional to 105,186.57, 145,157.34 and 62,181.56

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Solution

The fourth proportional to 105,186.57, 145,157.34 and 62,181.56 is: 85,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186.57 : 145,157.34 = 62,181.56 : x
  2. Step 2: Convert to fraction form
    105,186.57/145,157.34 = 62,181.56/x
  3. Step 3: Cross multiply
    105,186.57x = 145,157.34 × 62,181.56
  4. Step 4: Simplify right side
    105,186.57x = 9,026,109,120.86
  5. Step 5: Solve for x
    x = 9,026,109,120.86/105,186.57
  6. Step 6: Final answer
    x = 85,810.47

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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.