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Finding the Fourth Proportional to 147,020.84, 202,893.22 and 83,361.32

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Solution

The fourth proportional to 147,020.84, 202,893.22 and 83,361.32 is: 115,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,020.84 : 202,893.22 = 83,361.32 : x
  2. Step 2: Convert to fraction form
    147,020.84/202,893.22 = 83,361.32/x
  3. Step 3: Cross multiply
    147,020.84x = 202,893.22 × 83,361.32
  4. Step 4: Simplify right side
    147,020.84x = 16,913,446,638.25
  5. Step 5: Solve for x
    x = 16,913,446,638.25/147,020.84
  6. Step 6: Final answer
    x = 115,041.15

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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.