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Finding the Fourth Proportional to 228,607.24, 315,514.10 and 137,976.13

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Solution

The fourth proportional to 228,607.24, 315,514.10 and 137,976.13 is: 190,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,607.24 : 315,514.10 = 137,976.13 : x
  2. Step 2: Convert to fraction form
    228,607.24/315,514.10 = 137,976.13/x
  3. Step 3: Cross multiply
    228,607.24x = 315,514.10 × 137,976.13
  4. Step 4: Simplify right side
    228,607.24x = 43,533,414,478.43
  5. Step 5: Solve for x
    x = 43,533,414,478.43/228,607.24
  6. Step 6: Final answer
    x = 190,428.85

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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.