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Finding the Fourth Proportional to 214,051.68, 321,080.70 and 101,743.36

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Solution

The fourth proportional to 214,051.68, 321,080.70 and 101,743.36 is: 152,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,051.68 : 321,080.70 = 101,743.36 : x
  2. Step 2: Convert to fraction form
    214,051.68/321,080.70 = 101,743.36/x
  3. Step 3: Cross multiply
    214,051.68x = 321,080.70 × 101,743.36
  4. Step 4: Simplify right side
    214,051.68x = 32,667,829,249.15
  5. Step 5: Solve for x
    x = 32,667,829,249.15/214,051.68
  6. Step 6: Final answer
    x = 152,616.55

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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.