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Finding the Fourth Proportional to 205,694.40, 283,852.80 and 116,270.40

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Solution

The fourth proportional to 205,694.40, 283,852.80 and 116,270.40 is: 160,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,694.40 : 283,852.80 = 116,270.40 : x
  2. Step 2: Convert to fraction form
    205,694.40/283,852.80 = 116,270.40/x
  3. Step 3: Cross multiply
    205,694.40x = 283,852.80 × 116,270.40
  4. Step 4: Simplify right side
    205,694.40x = 33,003,678,597.12
  5. Step 5: Solve for x
    x = 33,003,678,597.12/205,694.40
  6. Step 6: Final answer
    x = 160,450.06

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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.