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Finding the Fourth Proportional to 143,201.12, 214,719.38 and 59,019.40

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Solution

The fourth proportional to 143,201.12, 214,719.38 and 59,019.40 is: 88,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,201.12 : 214,719.38 = 59,019.40 : x
  2. Step 2: Convert to fraction form
    143,201.12/214,719.38 = 59,019.40/x
  3. Step 3: Cross multiply
    143,201.12x = 214,719.38 × 59,019.40
  4. Step 4: Simplify right side
    143,201.12x = 12,672,608,975.97
  5. Step 5: Solve for x
    x = 12,672,608,975.97/143,201.12
  6. Step 6: Final answer
    x = 88,495.18

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Why These Related Problems?

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