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Finding the Fourth Proportional to 176,494.24, 264,728.40 and 51,844.96

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Solution

The fourth proportional to 176,494.24, 264,728.40 and 51,844.96 is: 77,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,494.24 : 264,728.40 = 51,844.96 : x
  2. Step 2: Convert to fraction form
    176,494.24/264,728.40 = 51,844.96/x
  3. Step 3: Cross multiply
    176,494.24x = 264,728.40 × 51,844.96
  4. Step 4: Simplify right side
    176,494.24x = 13,724,833,308.86
  5. Step 5: Solve for x
    x = 13,724,833,308.86/176,494.24
  6. Step 6: Final answer
    x = 77,763.63

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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.