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Finding the Fourth Proportional to 225,400.32, 310,425.21 and 174,224.52

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Solution

The fourth proportional to 225,400.32, 310,425.21 and 174,224.52 is: 239,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400.32 : 310,425.21 = 174,224.52 : x
  2. Step 2: Convert to fraction form
    225,400.32/310,425.21 = 174,224.52/x
  3. Step 3: Cross multiply
    225,400.32x = 310,425.21 × 174,224.52
  4. Step 4: Simplify right side
    225,400.32x = 54,083,683,208.15
  5. Step 5: Solve for x
    x = 54,083,683,208.15/225,400.32
  6. Step 6: Final answer
    x = 239,945.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.