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Finding the Fourth Proportional to 114,501.88, 157,982.70 and 66,091.96

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Solution

The fourth proportional to 114,501.88, 157,982.70 and 66,091.96 is: 91,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,501.88 : 157,982.70 = 66,091.96 : x
  2. Step 2: Convert to fraction form
    114,501.88/157,982.70 = 66,091.96/x
  3. Step 3: Cross multiply
    114,501.88x = 157,982.70 × 66,091.96
  4. Step 4: Simplify right side
    114,501.88x = 10,441,386,289.09
  5. Step 5: Solve for x
    x = 10,441,386,289.09/114,501.88
  6. Step 6: Final answer
    x = 91,189.65

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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.