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Finding the Fourth Proportional to 285,057.26, 393,373.47 and 157,732.94

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Solution

The fourth proportional to 285,057.26, 393,373.47 and 157,732.94 is: 217,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,057.26 : 393,373.47 = 157,732.94 : x
  2. Step 2: Convert to fraction form
    285,057.26/393,373.47 = 157,732.94/x
  3. Step 3: Cross multiply
    285,057.26x = 393,373.47 × 157,732.94
  4. Step 4: Simplify right side
    285,057.26x = 62,047,953,941.10
  5. Step 5: Solve for x
    x = 62,047,953,941.10/285,057.26
  6. Step 6: Final answer
    x = 217,668.39

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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.