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Finding the Fourth Proportional to 109,751.86, 151,457.57 and 59,450.86

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Solution

The fourth proportional to 109,751.86, 151,457.57 and 59,450.86 is: 82,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,751.86 : 151,457.57 = 59,450.86 : x
  2. Step 2: Convert to fraction form
    109,751.86/151,457.57 = 59,450.86/x
  3. Step 3: Cross multiply
    109,751.86x = 151,457.57 × 59,450.86
  4. Step 4: Simplify right side
    109,751.86x = 9,004,282,790.01
  5. Step 5: Solve for x
    x = 9,004,282,790.01/109,751.86
  6. Step 6: Final answer
    x = 82,042.19

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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.