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Finding the Fourth Proportional to 106,909.89, 160,365.53 and 28,023.44

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Solution

The fourth proportional to 106,909.89, 160,365.53 and 28,023.44 is: 42,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,909.89 : 160,365.53 = 28,023.44 : x
  2. Step 2: Convert to fraction form
    106,909.89/160,365.53 = 28,023.44/x
  3. Step 3: Cross multiply
    106,909.89x = 160,365.53 × 28,023.44
  4. Step 4: Simplify right side
    106,909.89x = 4,493,993,808.02
  5. Step 5: Solve for x
    x = 4,493,993,808.02/106,909.89
  6. Step 6: Final answer
    x = 42,035.34

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1.5x scale

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.