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Finding the Fourth Proportional to 213,875.16, 320,747.94 and 89,187

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Solution

The fourth proportional to 213,875.16, 320,747.94 and 89,187 is: 133,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,875.16 : 320,747.94 = 89,187 : x
  2. Step 2: Convert to fraction form
    213,875.16/320,747.94 = 89,187/x
  3. Step 3: Cross multiply
    213,875.16x = 320,747.94 × 89,187
  4. Step 4: Simplify right side
    213,875.16x = 28,606,546,524.78
  5. Step 5: Solve for x
    x = 28,606,546,524.78/213,875.16
  6. Step 6: Final answer
    x = 133,753.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.