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Finding the Fourth Proportional to 143,207.94, 214,809.66 and 35,138.46

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Solution

The fourth proportional to 143,207.94, 214,809.66 and 35,138.46 is: 52,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,207.94 : 214,809.66 = 35,138.46 : x
  2. Step 2: Convert to fraction form
    143,207.94/214,809.66 = 35,138.46/x
  3. Step 3: Cross multiply
    143,207.94x = 214,809.66 × 35,138.46
  4. Step 4: Simplify right side
    143,207.94x = 7,548,080,645.52
  5. Step 5: Solve for x
    x = 7,548,080,645.52/143,207.94
  6. Step 6: Final answer
    x = 52,707.14

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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.