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Finding the Fourth Proportional to 147,009.17, 202,889.01 and 82,489.02

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Solution

The fourth proportional to 147,009.17, 202,889.01 and 82,489.02 is: 113,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,009.17 : 202,889.01 = 82,489.02 : x
  2. Step 2: Convert to fraction form
    147,009.17/202,889.01 = 82,489.02/x
  3. Step 3: Cross multiply
    147,009.17x = 202,889.01 × 82,489.02
  4. Step 4: Simplify right side
    147,009.17x = 16,736,115,603.67
  5. Step 5: Solve for x
    x = 16,736,115,603.67/147,009.17
  6. Step 6: Final answer
    x = 113,844.03

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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.