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Finding the Fourth Proportional to 205,174.62, 307,654.74 and 92,801.16

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Solution

The fourth proportional to 205,174.62, 307,654.74 and 92,801.16 is: 139,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,174.62 : 307,654.74 = 92,801.16 : x
  2. Step 2: Convert to fraction form
    205,174.62/307,654.74 = 92,801.16/x
  3. Step 3: Cross multiply
    205,174.62x = 307,654.74 × 92,801.16
  4. Step 4: Simplify right side
    205,174.62x = 28,550,716,751.50
  5. Step 5: Solve for x
    x = 28,550,716,751.50/205,174.62
  6. Step 6: Final answer
    x = 139,153.26

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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.