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Finding the Fourth Proportional to 213,649.33, 294,824.10 and 116,833.99

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Solution

The fourth proportional to 213,649.33, 294,824.10 and 116,833.99 is: 161,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,649.33 : 294,824.10 = 116,833.99 : x
  2. Step 2: Convert to fraction form
    213,649.33/294,824.10 = 116,833.99/x
  3. Step 3: Cross multiply
    213,649.33x = 294,824.10 × 116,833.99
  4. Step 4: Simplify right side
    213,649.33x = 34,445,475,951.16
  5. Step 5: Solve for x
    x = 34,445,475,951.16/213,649.33
  6. Step 6: Final answer
    x = 161,224.36

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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.