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Finding the Fourth Proportional to 205,834.44, 308,708.45 and 58,055.88

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Solution

The fourth proportional to 205,834.44, 308,708.45 and 58,055.88 is: 87,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,834.44 : 308,708.45 = 58,055.88 : x
  2. Step 2: Convert to fraction form
    205,834.44/308,708.45 = 58,055.88/x
  3. Step 3: Cross multiply
    205,834.44x = 308,708.45 × 58,055.88
  4. Step 4: Simplify right side
    205,834.44x = 17,922,340,728.19
  5. Step 5: Solve for x
    x = 17,922,340,728.19/205,834.44
  6. Step 6: Final answer
    x = 87,071.63

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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.