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Finding the Fourth Proportional to 120,092.63, 180,170.12 and 35,852.79

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Solution

The fourth proportional to 120,092.63, 180,170.12 and 35,852.79 is: 53,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.63 : 180,170.12 = 35,852.79 : x
  2. Step 2: Convert to fraction form
    120,092.63/180,170.12 = 35,852.79/x
  3. Step 3: Cross multiply
    120,092.63x = 180,170.12 × 35,852.79
  4. Step 4: Simplify right side
    120,092.63x = 6,459,602,241.90
  5. Step 5: Solve for x
    x = 6,459,602,241.90/120,092.63
  6. Step 6: Final answer
    x = 53,788.50

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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.