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Finding the Fourth Proportional to 204,901.94, 307,279.02 and 86,582.46

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Solution

The fourth proportional to 204,901.94, 307,279.02 and 86,582.46 is: 129,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,901.94 : 307,279.02 = 86,582.46 : x
  2. Step 2: Convert to fraction form
    204,901.94/307,279.02 = 86,582.46/x
  3. Step 3: Cross multiply
    204,901.94x = 307,279.02 × 86,582.46
  4. Step 4: Simplify right side
    204,901.94x = 26,604,973,457.99
  5. Step 5: Solve for x
    x = 26,604,973,457.99/204,901.94
  6. Step 6: Final answer
    x = 129,842.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.