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Finding the Fourth Proportional to 252,224.94, 378,149.06 and 152,362.46

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Solution

The fourth proportional to 252,224.94, 378,149.06 and 152,362.46 is: 228,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,224.94 : 378,149.06 = 152,362.46 : x
  2. Step 2: Convert to fraction form
    252,224.94/378,149.06 = 152,362.46/x
  3. Step 3: Cross multiply
    252,224.94x = 378,149.06 × 152,362.46
  4. Step 4: Simplify right side
    252,224.94x = 57,615,721,028.29
  5. Step 5: Solve for x
    x = 57,615,721,028.29/252,224.94
  6. Step 6: Final answer
    x = 228,429.91

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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.