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Finding the Fourth Proportional to 285,187.72, 393,559.06 and 157,863.32

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Solution

The fourth proportional to 285,187.72, 393,559.06 and 157,863.32 is: 217,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,187.72 : 393,559.06 = 157,863.32 : x
  2. Step 2: Convert to fraction form
    285,187.72/393,559.06 = 157,863.32/x
  3. Step 3: Cross multiply
    285,187.72x = 393,559.06 × 157,863.32
  4. Step 4: Simplify right side
    285,187.72x = 62,128,539,827.68
  5. Step 5: Solve for x
    x = 62,128,539,827.68/285,187.72
  6. Step 6: Final answer
    x = 217,851.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.