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Finding the Fourth Proportional to 146,561.51, 202,251.30 and 82,031.60

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Solution

The fourth proportional to 146,561.51, 202,251.30 and 82,031.60 is: 113,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,561.51 : 202,251.30 = 82,031.60 : x
  2. Step 2: Convert to fraction form
    146,561.51/202,251.30 = 82,031.60/x
  3. Step 3: Cross multiply
    146,561.51x = 202,251.30 × 82,031.60
  4. Step 4: Simplify right side
    146,561.51x = 16,590,997,741.08
  5. Step 5: Solve for x
    x = 16,590,997,741.08/146,561.51
  6. Step 6: Final answer
    x = 113,201.60

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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.