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Finding the Fourth Proportional to 208,646.57, 313,032.23 and 147,973.73

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Solution

The fourth proportional to 208,646.57, 313,032.23 and 147,973.73 is: 222,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,646.57 : 313,032.23 = 147,973.73 : x
  2. Step 2: Convert to fraction form
    208,646.57/313,032.23 = 147,973.73/x
  3. Step 3: Cross multiply
    208,646.57x = 313,032.23 × 147,973.73
  4. Step 4: Simplify right side
    208,646.57x = 46,320,544,378.29
  5. Step 5: Solve for x
    x = 46,320,544,378.29/208,646.57
  6. Step 6: Final answer
    x = 222,004.83

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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.