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Finding the Fourth Proportional to 206,841.68, 285,441.36 and 117,417.68

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Solution

The fourth proportional to 206,841.68, 285,441.36 and 117,417.68 is: 162,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,841.68 : 285,441.36 = 117,417.68 : x
  2. Step 2: Convert to fraction form
    206,841.68/285,441.36 = 117,417.68/x
  3. Step 3: Cross multiply
    206,841.68x = 285,441.36 × 117,417.68
  4. Step 4: Simplify right side
    206,841.68x = 33,515,862,267.24
  5. Step 5: Solve for x
    x = 33,515,862,267.24/206,841.68
  6. Step 6: Final answer
    x = 162,036.31

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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.