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Finding the Fourth Proportional to 205,329.90, 307,764.45 and 116,625.90

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Solution

The fourth proportional to 205,329.90, 307,764.45 and 116,625.90 is: 174,807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.90 : 307,764.45 = 116,625.90 : x
  2. Step 2: Convert to fraction form
    205,329.90/307,764.45 = 116,625.90/x
  3. Step 3: Cross multiply
    205,329.90x = 307,764.45 × 116,625.90
  4. Step 4: Simplify right side
    205,329.90x = 35,893,305,969.26
  5. Step 5: Solve for x
    x = 35,893,305,969.26/205,329.90
  6. Step 6: Final answer
    x = 174,807.98

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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.