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Finding the Fourth Proportional to 205,191.55, 283,282.13 and 156,410.51

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Solution

The fourth proportional to 205,191.55, 283,282.13 and 156,410.51 is: 215,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,191.55 : 283,282.13 = 156,410.51 : x
  2. Step 2: Convert to fraction form
    205,191.55/283,282.13 = 156,410.51/x
  3. Step 3: Cross multiply
    205,191.55x = 283,282.13 × 156,410.51
  4. Step 4: Simplify right side
    205,191.55x = 44,308,301,645.13
  5. Step 5: Solve for x
    x = 44,308,301,645.13/205,191.55
  6. Step 6: Final answer
    x = 215,936.29

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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.