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Finding the Fourth Proportional to 205,056.92, 282,801.84 and 133,410.80

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Solution

The fourth proportional to 205,056.92, 282,801.84 and 133,410.80 is: 183,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,056.92 : 282,801.84 = 133,410.80 : x
  2. Step 2: Convert to fraction form
    205,056.92/282,801.84 = 133,410.80/x
  3. Step 3: Cross multiply
    205,056.92x = 282,801.84 × 133,410.80
  4. Step 4: Simplify right side
    205,056.92x = 37,728,819,715.87
  5. Step 5: Solve for x
    x = 37,728,819,715.87/205,056.92
  6. Step 6: Final answer
    x = 183,991.94

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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.