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Finding the Fourth Proportional to 205,834.56, 308,708.64 and 58,056

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Solution

The fourth proportional to 205,834.56, 308,708.64 and 58,056 is: 87,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,834.56 : 308,708.64 = 58,056 : x
  2. Step 2: Convert to fraction form
    205,834.56/308,708.64 = 58,056/x
  3. Step 3: Cross multiply
    205,834.56x = 308,708.64 × 58,056
  4. Step 4: Simplify right side
    205,834.56x = 17,922,388,803.84
  5. Step 5: Solve for x
    x = 17,922,388,803.84/205,834.56
  6. Step 6: Final answer
    x = 87,071.82

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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.