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Finding the Fourth Proportional to 225,684, 311,443.92 and 125,088.48

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Solution

The fourth proportional to 225,684, 311,443.92 and 125,088.48 is: 172,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,684 : 311,443.92 = 125,088.48 : x
  2. Step 2: Convert to fraction form
    225,684/311,443.92 = 125,088.48/x
  3. Step 3: Cross multiply
    225,684x = 311,443.92 × 125,088.48
  4. Step 4: Simplify right side
    225,684x = 38,958,046,558.04
  5. Step 5: Solve for x
    x = 38,958,046,558.04/225,684
  6. Step 6: Final answer
    x = 172,622.10

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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.