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Finding the Fourth Proportional to 176,076.80, 264,115.20 and 51,417.80

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Solution

The fourth proportional to 176,076.80, 264,115.20 and 51,417.80 is: 77,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076.80 : 264,115.20 = 51,417.80 : x
  2. Step 2: Convert to fraction form
    176,076.80/264,115.20 = 51,417.80/x
  3. Step 3: Cross multiply
    176,076.80x = 264,115.20 × 51,417.80
  4. Step 4: Simplify right side
    176,076.80x = 13,580,222,530.56
  5. Step 5: Solve for x
    x = 13,580,222,530.56/176,076.80
  6. Step 6: Final answer
    x = 77,126.70

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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.