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Finding the Fourth Proportional to 106,097.90, 146,418.16 and 58,354.32

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Solution

The fourth proportional to 106,097.90, 146,418.16 and 58,354.32 is: 80,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,097.90 : 146,418.16 = 58,354.32 : x
  2. Step 2: Convert to fraction form
    106,097.90/146,418.16 = 58,354.32/x
  3. Step 3: Cross multiply
    106,097.90x = 146,418.16 × 58,354.32
  4. Step 4: Simplify right side
    106,097.90x = 8,544,132,162.45
  5. Step 5: Solve for x
    x = 8,544,132,162.45/106,097.90
  6. Step 6: Final answer
    x = 80,530.64

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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.