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Finding the Fourth Proportional to 205,474.56, 308,236.41 and 87,130.50

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Solution

The fourth proportional to 205,474.56, 308,236.41 and 87,130.50 is: 130,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,474.56 : 308,236.41 = 87,130.50 : x
  2. Step 2: Convert to fraction form
    205,474.56/308,236.41 = 87,130.50/x
  3. Step 3: Cross multiply
    205,474.56x = 308,236.41 × 87,130.50
  4. Step 4: Simplify right side
    205,474.56x = 26,856,792,521.51
  5. Step 5: Solve for x
    x = 26,856,792,521.51/205,474.56
  6. Step 6: Final answer
    x = 130,706.17

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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.