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Finding the Fourth Proportional to 152,149.84, 209,965.56 and 85,081.84

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Solution

The fourth proportional to 152,149.84, 209,965.56 and 85,081.84 is: 117,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,149.84 : 209,965.56 = 85,081.84 : x
  2. Step 2: Convert to fraction form
    152,149.84/209,965.56 = 85,081.84/x
  3. Step 3: Cross multiply
    152,149.84x = 209,965.56 × 85,081.84
  4. Step 4: Simplify right side
    152,149.84x = 17,864,256,181.43
  5. Step 5: Solve for x
    x = 17,864,256,181.43/152,149.84
  6. Step 6: Final answer
    x = 117,412.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.