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Finding the Fourth Proportional to 205,737.56, 283,918.26 and 115,095.04

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Solution

The fourth proportional to 205,737.56, 283,918.26 and 115,095.04 is: 158,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.56 : 283,918.26 = 115,095.04 : x
  2. Step 2: Convert to fraction form
    205,737.56/283,918.26 = 115,095.04/x
  3. Step 3: Cross multiply
    205,737.56x = 283,918.26 × 115,095.04
  4. Step 4: Simplify right side
    205,737.56x = 32,677,582,915.96
  5. Step 5: Solve for x
    x = 32,677,582,915.96/205,737.56
  6. Step 6: Final answer
    x = 158,831.39

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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.