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Finding the Fourth Proportional to 284,772.48, 427,823.14 and 166,527.06

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Solution

The fourth proportional to 284,772.48, 427,823.14 and 166,527.06 is: 250,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,772.48 : 427,823.14 = 166,527.06 : x
  2. Step 2: Convert to fraction form
    284,772.48/427,823.14 = 166,527.06/x
  3. Step 3: Cross multiply
    284,772.48x = 427,823.14 × 166,527.06
  4. Step 4: Simplify right side
    284,772.48x = 71,244,129,704.17
  5. Step 5: Solve for x
    x = 71,244,129,704.17/284,772.48
  6. Step 6: Final answer
    x = 250,179.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.