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Finding the Fourth Proportional to 205,259.10, 308,205.45 and 111,947.10

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Solution

The fourth proportional to 205,259.10, 308,205.45 and 111,947.10 is: 168,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,259.10 : 308,205.45 = 111,947.10 : x
  2. Step 2: Convert to fraction form
    205,259.10/308,205.45 = 111,947.10/x
  3. Step 3: Cross multiply
    205,259.10x = 308,205.45 × 111,947.10
  4. Step 4: Simplify right side
    205,259.10x = 34,502,706,331.70
  5. Step 5: Solve for x
    x = 34,502,706,331.70/205,259.10
  6. Step 6: Final answer
    x = 168,093.43

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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.