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Finding the Fourth Proportional to 176,286.42, 264,462.44 and 57,962.43

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Solution

The fourth proportional to 176,286.42, 264,462.44 and 57,962.43 is: 86,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286.42 : 264,462.44 = 57,962.43 : x
  2. Step 2: Convert to fraction form
    176,286.42/264,462.44 = 57,962.43/x
  3. Step 3: Cross multiply
    176,286.42x = 264,462.44 × 57,962.43
  4. Step 4: Simplify right side
    176,286.42x = 15,328,885,376.32
  5. Step 5: Solve for x
    x = 15,328,885,376.32/176,286.42
  6. Step 6: Final answer
    x = 86,954.43

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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.