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Finding the Fourth Proportional to 285,283.68, 393,713.64 and 157,971.12

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Solution

The fourth proportional to 285,283.68, 393,713.64 and 157,971.12 is: 218,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,283.68 : 393,713.64 = 157,971.12 : x
  2. Step 2: Convert to fraction form
    285,283.68/393,713.64 = 157,971.12/x
  3. Step 3: Cross multiply
    285,283.68x = 393,713.64 × 157,971.12
  4. Step 4: Simplify right side
    285,283.68x = 62,195,384,670.08
  5. Step 5: Solve for x
    x = 62,195,384,670.08/285,283.68
  6. Step 6: Final answer
    x = 218,012.42

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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.