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Finding the Fourth Proportional to 285,196.56, 393,566.46 and 157,869.42

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Solution

The fourth proportional to 285,196.56, 393,566.46 and 157,869.42 is: 217,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,196.56 : 393,566.46 = 157,869.42 : x
  2. Step 2: Convert to fraction form
    285,196.56/393,566.46 = 157,869.42/x
  3. Step 3: Cross multiply
    285,196.56x = 393,566.46 × 157,869.42
  4. Step 4: Simplify right side
    285,196.56x = 62,132,108,771.65
  5. Step 5: Solve for x
    x = 62,132,108,771.65/285,196.56
  6. Step 6: Final answer
    x = 217,857.15

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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.