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Finding the Fourth Proportional to 105,857.92, 146,074.72 and 58,111.20

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Solution

The fourth proportional to 105,857.92, 146,074.72 and 58,111.20 is: 80,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857.92 : 146,074.72 = 58,111.20 : x
  2. Step 2: Convert to fraction form
    105,857.92/146,074.72 = 58,111.20/x
  3. Step 3: Cross multiply
    105,857.92x = 146,074.72 × 58,111.20
  4. Step 4: Simplify right side
    105,857.92x = 8,488,577,268.86
  5. Step 5: Solve for x
    x = 8,488,577,268.86/105,857.92
  6. Step 6: Final answer
    x = 80,188.40

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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.