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Finding the Fourth Proportional to 205,532.49, 283,598.55 and 114,859.47

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Solution

The fourth proportional to 205,532.49, 283,598.55 and 114,859.47 is: 158,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,532.49 : 283,598.55 = 114,859.47 : x
  2. Step 2: Convert to fraction form
    205,532.49/283,598.55 = 114,859.47/x
  3. Step 3: Cross multiply
    205,532.49x = 283,598.55 × 114,859.47
  4. Step 4: Simplify right side
    205,532.49x = 32,573,979,145.77
  5. Step 5: Solve for x
    x = 32,573,979,145.77/205,532.49
  6. Step 6: Final answer
    x = 158,485.79

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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.