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Finding the Fourth Proportional to 213,449.49, 294,535.21 and 117,950.49

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Solution

The fourth proportional to 213,449.49, 294,535.21 and 117,950.49 is: 162,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,449.49 : 294,535.21 = 117,950.49 : x
  2. Step 2: Convert to fraction form
    213,449.49/294,535.21 = 117,950.49/x
  3. Step 3: Cross multiply
    213,449.49x = 294,535.21 × 117,950.49
  4. Step 4: Simplify right side
    213,449.49x = 34,740,572,341.75
  5. Step 5: Solve for x
    x = 34,740,572,341.75/213,449.49
  6. Step 6: Final answer
    x = 162,757.81

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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.