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Finding the Fourth Proportional to 117,590.82, 162,213.18 and 74,494.32

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Solution

The fourth proportional to 117,590.82, 162,213.18 and 74,494.32 is: 102,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,590.82 : 162,213.18 = 74,494.32 : x
  2. Step 2: Convert to fraction form
    117,590.82/162,213.18 = 74,494.32/x
  3. Step 3: Cross multiply
    117,590.82x = 162,213.18 × 74,494.32
  4. Step 4: Simplify right side
    117,590.82x = 12,083,960,539.14
  5. Step 5: Solve for x
    x = 12,083,960,539.14/117,590.82
  6. Step 6: Final answer
    x = 102,762.79

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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.