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Finding the Fourth Proportional to 205,554.30, 308,331.45 and 100,578.30

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Solution

The fourth proportional to 205,554.30, 308,331.45 and 100,578.30 is: 150,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,554.30 : 308,331.45 = 100,578.30 : x
  2. Step 2: Convert to fraction form
    205,554.30/308,331.45 = 100,578.30/x
  3. Step 3: Cross multiply
    205,554.30x = 308,331.45 × 100,578.30
  4. Step 4: Simplify right side
    205,554.30x = 31,011,453,077.54
  5. Step 5: Solve for x
    x = 31,011,453,077.54/205,554.30
  6. Step 6: Final answer
    x = 150,867.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.