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Finding the Fourth Proportional to 155,144.76, 214,121.36 and 87,167

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Solution

The fourth proportional to 155,144.76, 214,121.36 and 87,167 is: 120,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,144.76 : 214,121.36 = 87,167 : x
  2. Step 2: Convert to fraction form
    155,144.76/214,121.36 = 87,167/x
  3. Step 3: Cross multiply
    155,144.76x = 214,121.36 × 87,167
  4. Step 4: Simplify right side
    155,144.76x = 18,664,316,587.12
  5. Step 5: Solve for x
    x = 18,664,316,587.12/155,144.76
  6. Step 6: Final answer
    x = 120,302.59

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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.