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Finding the Fourth Proportional to 143,201.10, 214,801.65 and 73,217.10

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Solution

The fourth proportional to 143,201.10, 214,801.65 and 73,217.10 is: 109,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,201.10 : 214,801.65 = 73,217.10 : x
  2. Step 2: Convert to fraction form
    143,201.10/214,801.65 = 73,217.10/x
  3. Step 3: Cross multiply
    143,201.10x = 214,801.65 × 73,217.10
  4. Step 4: Simplify right side
    143,201.10x = 15,727,153,888.22
  5. Step 5: Solve for x
    x = 15,727,153,888.22/143,201.10
  6. Step 6: Final answer
    x = 109,825.65

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1.5x scale

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.