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Finding the Fourth Proportional to 136,162.38, 203,893.64 and 83,411.94

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Solution

The fourth proportional to 136,162.38, 203,893.64 and 83,411.94 is: 124,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,162.38 : 203,893.64 = 83,411.94 : x
  2. Step 2: Convert to fraction form
    136,162.38/203,893.64 = 83,411.94/x
  3. Step 3: Cross multiply
    136,162.38x = 203,893.64 × 83,411.94
  4. Step 4: Simplify right side
    136,162.38x = 17,007,164,066.06
  5. Step 5: Solve for x
    x = 17,007,164,066.06/136,162.38
  6. Step 6: Final answer
    x = 124,903.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.