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Finding the Fourth Proportional to 213,969.68, 294,970.44 and 150,109.52

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Solution

The fourth proportional to 213,969.68, 294,970.44 and 150,109.52 is: 206,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,969.68 : 294,970.44 = 150,109.52 : x
  2. Step 2: Convert to fraction form
    213,969.68/294,970.44 = 150,109.52/x
  3. Step 3: Cross multiply
    213,969.68x = 294,970.44 × 150,109.52
  4. Step 4: Simplify right side
    213,969.68x = 44,277,871,162.59
  5. Step 5: Solve for x
    x = 44,277,871,162.59/213,969.68
  6. Step 6: Final answer
    x = 206,935.26

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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.