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Finding the Fourth Proportional to 204,975.76, 282,866.98 and 114,329.39

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Solution

The fourth proportional to 204,975.76, 282,866.98 and 114,329.39 is: 157,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,975.76 : 282,866.98 = 114,329.39 : x
  2. Step 2: Convert to fraction form
    204,975.76/282,866.98 = 114,329.39/x
  3. Step 3: Cross multiply
    204,975.76x = 282,866.98 × 114,329.39
  4. Step 4: Simplify right side
    204,975.76x = 32,340,009,379.88
  5. Step 5: Solve for x
    x = 32,340,009,379.88/204,975.76
  6. Step 6: Final answer
    x = 157,774.80

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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.