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Finding the Fourth Proportional to 136,643.56, 204,971.48 and 41,866.80

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Solution

The fourth proportional to 136,643.56, 204,971.48 and 41,866.80 is: 62,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.56 : 204,971.48 = 41,866.80 : x
  2. Step 2: Convert to fraction form
    136,643.56/204,971.48 = 41,866.80/x
  3. Step 3: Cross multiply
    136,643.56x = 204,971.48 × 41,866.80
  4. Step 4: Simplify right side
    136,643.56x = 8,581,499,958.86
  5. Step 5: Solve for x
    x = 8,581,499,958.86/136,643.56
  6. Step 6: Final answer
    x = 62,802.08

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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.