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Finding the Fourth Proportional to 234,203.99, 350,434.59 and 205,606.16

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Solution

The fourth proportional to 234,203.99, 350,434.59 and 205,606.16 is: 307,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,203.99 : 350,434.59 = 205,606.16 : x
  2. Step 2: Convert to fraction form
    234,203.99/350,434.59 = 205,606.16/x
  3. Step 3: Cross multiply
    234,203.99x = 350,434.59 × 205,606.16
  4. Step 4: Simplify right side
    234,203.99x = 72,051,508,628.90
  5. Step 5: Solve for x
    x = 72,051,508,628.90/234,203.99
  6. Step 6: Final answer
    x = 307,644.25

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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.