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Finding the Fourth Proportional to 120,181.60, 165,848.74 and 66,465.38

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Solution

The fourth proportional to 120,181.60, 165,848.74 and 66,465.38 is: 91,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.60 : 165,848.74 = 66,465.38 : x
  2. Step 2: Convert to fraction form
    120,181.60/165,848.74 = 66,465.38/x
  3. Step 3: Cross multiply
    120,181.60x = 165,848.74 × 66,465.38
  4. Step 4: Simplify right side
    120,181.60x = 11,023,199,526.62
  5. Step 5: Solve for x
    x = 11,023,199,526.62/120,181.60
  6. Step 6: Final answer
    x = 91,721.19

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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.