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Finding the Fourth Proportional to 284,985.37, 393,258.14 and 157,658.23

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Solution

The fourth proportional to 284,985.37, 393,258.14 and 157,658.23 is: 217,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,985.37 : 393,258.14 = 157,658.23 : x
  2. Step 2: Convert to fraction form
    284,985.37/393,258.14 = 157,658.23/x
  3. Step 3: Cross multiply
    284,985.37x = 393,258.14 × 157,658.23
  4. Step 4: Simplify right side
    284,985.37x = 62,000,381,497.20
  5. Step 5: Solve for x
    x = 62,000,381,497.20/284,985.37
  6. Step 6: Final answer
    x = 217,556.37

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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.