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Finding the Fourth Proportional to 138,728.70, 208,093.05 and 119,045.70

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Solution

The fourth proportional to 138,728.70, 208,093.05 and 119,045.70 is: 178,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,728.70 : 208,093.05 = 119,045.70 : x
  2. Step 2: Convert to fraction form
    138,728.70/208,093.05 = 119,045.70/x
  3. Step 3: Cross multiply
    138,728.70x = 208,093.05 × 119,045.70
  4. Step 4: Simplify right side
    138,728.70x = 24,772,582,802.39
  5. Step 5: Solve for x
    x = 24,772,582,802.39/138,728.70
  6. Step 6: Final answer
    x = 178,568.55

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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.