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Finding the Fourth Proportional to 167,477.60, 251,248.80 and 49,152.80

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Solution

The fourth proportional to 167,477.60, 251,248.80 and 49,152.80 is: 73,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,477.60 : 251,248.80 = 49,152.80 : x
  2. Step 2: Convert to fraction form
    167,477.60/251,248.80 = 49,152.80/x
  3. Step 3: Cross multiply
    167,477.60x = 251,248.80 × 49,152.80
  4. Step 4: Simplify right side
    167,477.60x = 12,349,582,016.64
  5. Step 5: Solve for x
    x = 12,349,582,016.64/167,477.60
  6. Step 6: Final answer
    x = 73,738.71

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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.