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Finding the Fourth Proportional to 205,172.87, 283,143.35 and 128,695.21

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Solution

The fourth proportional to 205,172.87, 283,143.35 and 128,695.21 is: 177,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172.87 : 283,143.35 = 128,695.21 : x
  2. Step 2: Convert to fraction form
    205,172.87/283,143.35 = 128,695.21/x
  3. Step 3: Cross multiply
    205,172.87x = 283,143.35 × 128,695.21
  4. Step 4: Simplify right side
    205,172.87x = 36,439,192,502.23
  5. Step 5: Solve for x
    x = 36,439,192,502.23/205,172.87
  6. Step 6: Final answer
    x = 177,602.39

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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.