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Finding the Fourth Proportional to 84,166, 116,151.51 and 46,442.68

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Solution

The fourth proportional to 84,166, 116,151.51 and 46,442.68 is: 64,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,166 : 116,151.51 = 46,442.68 : x
  2. Step 2: Convert to fraction form
    84,166/116,151.51 = 46,442.68/x
  3. Step 3: Cross multiply
    84,166x = 116,151.51 × 46,442.68
  4. Step 4: Simplify right side
    84,166x = 5,394,387,410.45
  5. Step 5: Solve for x
    x = 5,394,387,410.45/84,166
  6. Step 6: Final answer
    x = 64,092.24

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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.