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Finding the Fourth Proportional to 205,203.64, 283,298.82 and 156,422.68

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Solution

The fourth proportional to 205,203.64, 283,298.82 and 156,422.68 is: 215,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,203.64 : 283,298.82 = 156,422.68 : x
  2. Step 2: Convert to fraction form
    205,203.64/283,298.82 = 156,422.68/x
  3. Step 3: Cross multiply
    205,203.64x = 283,298.82 × 156,422.68
  4. Step 4: Simplify right side
    205,203.64x = 44,314,360,665.24
  5. Step 5: Solve for x
    x = 44,314,360,665.24/205,203.64
  6. Step 6: Final answer
    x = 215,953.09

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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.