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Finding the Fourth Proportional to 228,178.92, 314,752.32 and 143,148.36

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Solution

The fourth proportional to 228,178.92, 314,752.32 and 143,148.36 is: 197,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,178.92 : 314,752.32 = 143,148.36 : x
  2. Step 2: Convert to fraction form
    228,178.92/314,752.32 = 143,148.36/x
  3. Step 3: Cross multiply
    228,178.92x = 314,752.32 × 143,148.36
  4. Step 4: Simplify right side
    228,178.92x = 45,056,278,414.20
  5. Step 5: Solve for x
    x = 45,056,278,414.20/228,178.92
  6. Step 6: Final answer
    x = 197,460.30

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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.