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Finding the Fourth Proportional to 216,694.49, 299,030.84 and 119,896.81

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Solution

The fourth proportional to 216,694.49, 299,030.84 and 119,896.81 is: 165,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,694.49 : 299,030.84 = 119,896.81 : x
  2. Step 2: Convert to fraction form
    216,694.49/299,030.84 = 119,896.81/x
  3. Step 3: Cross multiply
    216,694.49x = 299,030.84 × 119,896.81
  4. Step 4: Simplify right side
    216,694.49x = 35,852,842,910.17
  5. Step 5: Solve for x
    x = 35,852,842,910.17/216,694.49
  6. Step 6: Final answer
    x = 165,453.41

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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.