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Finding the Fourth Proportional to 146,880.64, 202,695.48 and 83,222.74

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Solution

The fourth proportional to 146,880.64, 202,695.48 and 83,222.74 is: 114,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,880.64 : 202,695.48 = 83,222.74 : x
  2. Step 2: Convert to fraction form
    146,880.64/202,695.48 = 83,222.74/x
  3. Step 3: Cross multiply
    146,880.64x = 202,695.48 × 83,222.74
  4. Step 4: Simplify right side
    146,880.64x = 16,868,873,231.22
  5. Step 5: Solve for x
    x = 16,868,873,231.22/146,880.64
  6. Step 6: Final answer
    x = 114,847.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.