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Finding the Fourth Proportional to 205,473.99, 283,518 and 114,800.97

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Solution

The fourth proportional to 205,473.99, 283,518 and 114,800.97 is: 158,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473.99 : 283,518 = 114,800.97 : x
  2. Step 2: Convert to fraction form
    205,473.99/283,518 = 114,800.97/x
  3. Step 3: Cross multiply
    205,473.99x = 283,518 × 114,800.97
  4. Step 4: Simplify right side
    205,473.99x = 32,548,141,412.46
  5. Step 5: Solve for x
    x = 32,548,141,412.46/205,473.99
  6. Step 6: Final answer
    x = 158,405.17

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Why These Related Problems?

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