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Finding the Fourth Proportional to 105,925.86, 146,178 and 58,180.14

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Solution

The fourth proportional to 105,925.86, 146,178 and 58,180.14 is: 80,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,925.86 : 146,178 = 58,180.14 : x
  2. Step 2: Convert to fraction form
    105,925.86/146,178 = 58,180.14/x
  3. Step 3: Cross multiply
    105,925.86x = 146,178 × 58,180.14
  4. Step 4: Simplify right side
    105,925.86x = 8,504,656,504.92
  5. Step 5: Solve for x
    x = 8,504,656,504.92/105,925.86
  6. Step 6: Final answer
    x = 80,288.77

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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.