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Finding the Fourth Proportional to 106,580.83, 147,080.71 and 58,834.16

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Solution

The fourth proportional to 106,580.83, 147,080.71 and 58,834.16 is: 81,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.83 : 147,080.71 = 58,834.16 : x
  2. Step 2: Convert to fraction form
    106,580.83/147,080.71 = 58,834.16/x
  3. Step 3: Cross multiply
    106,580.83x = 147,080.71 × 58,834.16
  4. Step 4: Simplify right side
    106,580.83x = 8,653,370,025.05
  5. Step 5: Solve for x
    x = 8,653,370,025.05/106,580.83
  6. Step 6: Final answer
    x = 81,190.68

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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.