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Finding the Fourth Proportional to 142,805.80, 214,208.70 and 90,317.80

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Solution

The fourth proportional to 142,805.80, 214,208.70 and 90,317.80 is: 135,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,805.80 : 214,208.70 = 90,317.80 : x
  2. Step 2: Convert to fraction form
    142,805.80/214,208.70 = 90,317.80/x
  3. Step 3: Cross multiply
    142,805.80x = 214,208.70 × 90,317.80
  4. Step 4: Simplify right side
    142,805.80x = 19,346,858,524.86
  5. Step 5: Solve for x
    x = 19,346,858,524.86/142,805.80
  6. Step 6: Final answer
    x = 135,476.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.