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Finding the Fourth Proportional to 228,016.84, 314,662.74 and 127,414.84

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Solution

The fourth proportional to 228,016.84, 314,662.74 and 127,414.84 is: 175,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,016.84 : 314,662.74 = 127,414.84 : x
  2. Step 2: Convert to fraction form
    228,016.84/314,662.74 = 127,414.84/x
  3. Step 3: Cross multiply
    228,016.84x = 314,662.74 × 127,414.84
  4. Step 4: Simplify right side
    228,016.84x = 40,092,702,671.06
  5. Step 5: Solve for x
    x = 40,092,702,671.06/228,016.84
  6. Step 6: Final answer
    x = 175,832.20

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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.