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Finding the Fourth Proportional to 204,908.86, 282,808.29 and 118,918.76

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Solution

The fourth proportional to 204,908.86, 282,808.29 and 118,918.76 is: 164,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.86 : 282,808.29 = 118,918.76 : x
  2. Step 2: Convert to fraction form
    204,908.86/282,808.29 = 118,918.76/x
  3. Step 3: Cross multiply
    204,908.86x = 282,808.29 × 118,918.76
  4. Step 4: Simplify right side
    204,908.86x = 33,631,211,164.52
  5. Step 5: Solve for x
    x = 33,631,211,164.52/204,908.86
  6. Step 6: Final answer
    x = 164,127.66

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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.