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Finding the Fourth Proportional to 106,453.64, 146,899.32 and 61,099.71

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Solution

The fourth proportional to 106,453.64, 146,899.32 and 61,099.71 is: 84,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453.64 : 146,899.32 = 61,099.71 : x
  2. Step 2: Convert to fraction form
    106,453.64/146,899.32 = 61,099.71/x
  3. Step 3: Cross multiply
    106,453.64x = 146,899.32 × 61,099.71
  4. Step 4: Simplify right side
    106,453.64x = 8,975,505,851.20
  5. Step 5: Solve for x
    x = 8,975,505,851.20/106,453.64
  6. Step 6: Final answer
    x = 84,313.76

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1.5x scale

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.