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Finding the Fourth Proportional to 205,392.78, 283,414.14 and 114,737.58

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Solution

The fourth proportional to 205,392.78, 283,414.14 and 114,737.58 is: 158,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392.78 : 283,414.14 = 114,737.58 : x
  2. Step 2: Convert to fraction form
    205,392.78/283,414.14 = 114,737.58/x
  3. Step 3: Cross multiply
    205,392.78x = 283,414.14 × 114,737.58
  4. Step 4: Simplify right side
    205,392.78x = 32,518,252,561.38
  5. Step 5: Solve for x
    x = 32,518,252,561.38/205,392.78
  6. Step 6: Final answer
    x = 158,322.28

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1.5x scale

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.