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Finding the Fourth Proportional to 206,598.96, 285,201 and 158,835.60

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Solution

The fourth proportional to 206,598.96, 285,201 and 158,835.60 is: 219,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.96 : 285,201 = 158,835.60 : x
  2. Step 2: Convert to fraction form
    206,598.96/285,201 = 158,835.60/x
  3. Step 3: Cross multiply
    206,598.96x = 285,201 × 158,835.60
  4. Step 4: Simplify right side
    206,598.96x = 45,300,071,955.60
  5. Step 5: Solve for x
    x = 45,300,071,955.60/206,598.96
  6. Step 6: Final answer
    x = 219,265.73

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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.