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Finding the Fourth Proportional to 206,870.21, 285,509.66 and 116,233.17

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Solution

The fourth proportional to 206,870.21, 285,509.66 and 116,233.17 is: 160,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870.21 : 285,509.66 = 116,233.17 : x
  2. Step 2: Convert to fraction form
    206,870.21/285,509.66 = 116,233.17/x
  3. Step 3: Cross multiply
    206,870.21x = 285,509.66 × 116,233.17
  4. Step 4: Simplify right side
    206,870.21x = 33,185,692,266.26
  5. Step 5: Solve for x
    x = 33,185,692,266.26/206,870.21
  6. Step 6: Final answer
    x = 160,417.94

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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.