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Finding the Fourth Proportional to 295,707.50, 408,086.43 and 161,580.14

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Solution

The fourth proportional to 295,707.50, 408,086.43 and 161,580.14 is: 222,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,707.50 : 408,086.43 = 161,580.14 : x
  2. Step 2: Convert to fraction form
    295,707.50/408,086.43 = 161,580.14/x
  3. Step 3: Cross multiply
    295,707.50x = 408,086.43 × 161,580.14
  4. Step 4: Simplify right side
    295,707.50x = 65,938,662,491.50
  5. Step 5: Solve for x
    x = 65,938,662,491.50/295,707.50
  6. Step 6: Final answer
    x = 222,986.10

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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.