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Finding the Fourth Proportional to 206,166.60, 284,646.96 and 158,334.48

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Solution

The fourth proportional to 206,166.60, 284,646.96 and 158,334.48 is: 218,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.60 : 284,646.96 = 158,334.48 : x
  2. Step 2: Convert to fraction form
    206,166.60/284,646.96 = 158,334.48/x
  3. Step 3: Cross multiply
    206,166.60x = 284,646.96 × 158,334.48
  4. Step 4: Simplify right side
    206,166.60x = 45,069,428,395.18
  5. Step 5: Solve for x
    x = 45,069,428,395.18/206,166.60
  6. Step 6: Final answer
    x = 218,606.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.