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Finding the Fourth Proportional to 205,064.90, 307,266.15 and 116,053.70

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Solution

The fourth proportional to 205,064.90, 307,266.15 and 116,053.70 is: 173,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064.90 : 307,266.15 = 116,053.70 : x
  2. Step 2: Convert to fraction form
    205,064.90/307,266.15 = 116,053.70/x
  3. Step 3: Cross multiply
    205,064.90x = 307,266.15 × 116,053.70
  4. Step 4: Simplify right side
    205,064.90x = 35,659,373,592.26
  5. Step 5: Solve for x
    x = 35,659,373,592.26/205,064.90
  6. Step 6: Final answer
    x = 173,893.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.