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Finding the Fourth Proportional to 206,284.59, 308,779.83 and 141,866.91

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Solution

The fourth proportional to 206,284.59, 308,779.83 and 141,866.91 is: 212,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,284.59 : 308,779.83 = 141,866.91 : x
  2. Step 2: Convert to fraction form
    206,284.59/308,779.83 = 141,866.91/x
  3. Step 3: Cross multiply
    206,284.59x = 308,779.83 × 141,866.91
  4. Step 4: Simplify right side
    206,284.59x = 43,805,640,352.43
  5. Step 5: Solve for x
    x = 43,805,640,352.43/206,284.59
  6. Step 6: Final answer
    x = 212,355.37

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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.