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Finding the Fourth Proportional to 143,289.39, 214,965.14 and 43,457.25

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Solution

The fourth proportional to 143,289.39, 214,965.14 and 43,457.25 is: 65,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,289.39 : 214,965.14 = 43,457.25 : x
  2. Step 2: Convert to fraction form
    143,289.39/214,965.14 = 43,457.25/x
  3. Step 3: Cross multiply
    143,289.39x = 214,965.14 × 43,457.25
  4. Step 4: Simplify right side
    143,289.39x = 9,341,793,830.27
  5. Step 5: Solve for x
    x = 9,341,793,830.27/143,289.39
  6. Step 6: Final answer
    x = 65,195.29

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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.