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Finding the Fourth Proportional to 105,561.99, 158,407.97 and 41,508.86

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Solution

The fourth proportional to 105,561.99, 158,407.97 and 41,508.86 is: 62,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.99 : 158,407.97 = 41,508.86 : x
  2. Step 2: Convert to fraction form
    105,561.99/158,407.97 = 41,508.86/x
  3. Step 3: Cross multiply
    105,561.99x = 158,407.97 × 41,508.86
  4. Step 4: Simplify right side
    105,561.99x = 6,575,334,155.38
  5. Step 5: Solve for x
    x = 6,575,334,155.38/105,561.99
  6. Step 6: Final answer
    x = 62,288.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.