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Finding the Fourth Proportional to 105,953.27, 146,216.54 and 58,207.65

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Solution

The fourth proportional to 105,953.27, 146,216.54 and 58,207.65 is: 80,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,953.27 : 146,216.54 = 58,207.65 : x
  2. Step 2: Convert to fraction form
    105,953.27/146,216.54 = 58,207.65/x
  3. Step 3: Cross multiply
    105,953.27x = 146,216.54 × 58,207.65
  4. Step 4: Simplify right side
    105,953.27x = 8,510,920,781.74
  5. Step 5: Solve for x
    x = 8,510,920,781.74/105,953.27
  6. Step 6: Final answer
    x = 80,327.12

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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.