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Finding the Fourth Proportional to 188,902.75, 260,685.80 and 104,019.61

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Solution

The fourth proportional to 188,902.75, 260,685.80 and 104,019.61 is: 143,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.75 : 260,685.80 = 104,019.61 : x
  2. Step 2: Convert to fraction form
    188,902.75/260,685.80 = 104,019.61/x
  3. Step 3: Cross multiply
    188,902.75x = 260,685.80 × 104,019.61
  4. Step 4: Simplify right side
    188,902.75x = 27,116,434,728.44
  5. Step 5: Solve for x
    x = 27,116,434,728.44/188,902.75
  6. Step 6: Final answer
    x = 143,547.06

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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.