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Finding the Fourth Proportional to 205,146.42, 283,094.46 and 128,706.63

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Solution

The fourth proportional to 205,146.42, 283,094.46 and 128,706.63 is: 177,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146.42 : 283,094.46 = 128,706.63 : x
  2. Step 2: Convert to fraction form
    205,146.42/283,094.46 = 128,706.63/x
  3. Step 3: Cross multiply
    205,146.42x = 283,094.46 × 128,706.63
  4. Step 4: Simplify right side
    205,146.42x = 36,436,133,918.27
  5. Step 5: Solve for x
    x = 36,436,133,918.27/205,146.42
  6. Step 6: Final answer
    x = 177,610.38

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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.