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Finding the Fourth Proportional to 106,580.67, 147,081.30 and 58,834.02

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Solution

The fourth proportional to 106,580.67, 147,081.30 and 58,834.02 is: 81,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.67 : 147,081.30 = 58,834.02 : x
  2. Step 2: Convert to fraction form
    106,580.67/147,081.30 = 58,834.02/x
  3. Step 3: Cross multiply
    106,580.67x = 147,081.30 × 58,834.02
  4. Step 4: Simplify right side
    106,580.67x = 8,653,384,145.83
  5. Step 5: Solve for x
    x = 8,653,384,145.83/106,580.67
  6. Step 6: Final answer
    x = 81,190.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.