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Finding the Fourth Proportional to 106,699.60, 160,045.20 and 27,814.48

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Solution

The fourth proportional to 106,699.60, 160,045.20 and 27,814.48 is: 41,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,699.60 : 160,045.20 = 27,814.48 : x
  2. Step 2: Convert to fraction form
    106,699.60/160,045.20 = 27,814.48/x
  3. Step 3: Cross multiply
    106,699.60x = 160,045.20 × 27,814.48
  4. Step 4: Simplify right side
    106,699.60x = 4,451,574,014.50
  5. Step 5: Solve for x
    x = 4,451,574,014.50/106,699.60
  6. Step 6: Final answer
    x = 41,720.63

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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.