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Finding the Fourth Proportional to 205,533, 308,299.62 and 57,789

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Solution

The fourth proportional to 205,533, 308,299.62 and 57,789 is: 86,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,533 : 308,299.62 = 57,789 : x
  2. Step 2: Convert to fraction form
    205,533/308,299.62 = 57,789/x
  3. Step 3: Cross multiply
    205,533x = 308,299.62 × 57,789
  4. Step 4: Simplify right side
    205,533x = 17,816,326,740.18
  5. Step 5: Solve for x
    x = 17,816,326,740.18/205,533
  6. Step 6: Final answer
    x = 86,683.53

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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.