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Finding the Fourth Proportional to 106,099.61, 159,145.63 and 27,214.61

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Solution

The fourth proportional to 106,099.61, 159,145.63 and 27,214.61 is: 40,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,099.61 : 159,145.63 = 27,214.61 : x
  2. Step 2: Convert to fraction form
    106,099.61/159,145.63 = 27,214.61/x
  3. Step 3: Cross multiply
    106,099.61x = 159,145.63 × 27,214.61
  4. Step 4: Simplify right side
    106,099.61x = 4,331,085,389.89
  5. Step 5: Solve for x
    x = 4,331,085,389.89/106,099.61
  6. Step 6: Final answer
    x = 40,820.94

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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.