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Finding the Fourth Proportional to 225,297, 310,979.16 and 129,867.48

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Solution

The fourth proportional to 225,297, 310,979.16 and 129,867.48 is: 179,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,297 : 310,979.16 = 129,867.48 : x
  2. Step 2: Convert to fraction form
    225,297/310,979.16 = 129,867.48/x
  3. Step 3: Cross multiply
    225,297x = 310,979.16 × 129,867.48
  4. Step 4: Simplify right side
    225,297x = 40,386,079,841.72
  5. Step 5: Solve for x
    x = 40,386,079,841.72/225,297
  6. Step 6: Final answer
    x = 179,257.07

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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.