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Finding the Fourth Proportional to 176,052.30, 264,078.45 and 81,282.30

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Solution

The fourth proportional to 176,052.30, 264,078.45 and 81,282.30 is: 121,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,052.30 : 264,078.45 = 81,282.30 : x
  2. Step 2: Convert to fraction form
    176,052.30/264,078.45 = 81,282.30/x
  3. Step 3: Cross multiply
    176,052.30x = 264,078.45 × 81,282.30
  4. Step 4: Simplify right side
    176,052.30x = 21,464,903,796.44
  5. Step 5: Solve for x
    x = 21,464,903,796.44/176,052.30
  6. Step 6: Final answer
    x = 121,923.45

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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.