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Finding the Fourth Proportional to 142,593.60, 214,207.20 and 119,265.60

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Solution

The fourth proportional to 142,593.60, 214,207.20 and 119,265.60 is: 179,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,593.60 : 214,207.20 = 119,265.60 : x
  2. Step 2: Convert to fraction form
    142,593.60/214,207.20 = 119,265.60/x
  3. Step 3: Cross multiply
    142,593.60x = 214,207.20 × 119,265.60
  4. Step 4: Simplify right side
    142,593.60x = 25,547,550,232.32
  5. Step 5: Solve for x
    x = 25,547,550,232.32/142,593.60
  6. Step 6: Final answer
    x = 179,163.37

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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.