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Finding the Fourth Proportional to 312,177.50, 468,076.63 and 122,410.51

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Solution

The fourth proportional to 312,177.50, 468,076.63 and 122,410.51 is: 183,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,177.50 : 468,076.63 = 122,410.51 : x
  2. Step 2: Convert to fraction form
    312,177.50/468,076.63 = 122,410.51/x
  3. Step 3: Cross multiply
    312,177.50x = 468,076.63 × 122,410.51
  4. Step 4: Simplify right side
    312,177.50x = 57,297,498,997.38
  5. Step 5: Solve for x
    x = 57,297,498,997.38/312,177.50
  6. Step 6: Final answer
    x = 183,541.41

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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.