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Finding the Fourth Proportional to 213,813.36, 320,713.38 and 101,574.36

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Solution

The fourth proportional to 213,813.36, 320,713.38 and 101,574.36 is: 152,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,813.36 : 320,713.38 = 101,574.36 : x
  2. Step 2: Convert to fraction form
    213,813.36/320,713.38 = 101,574.36/x
  3. Step 3: Cross multiply
    213,813.36x = 320,713.38 × 101,574.36
  4. Step 4: Simplify right side
    213,813.36x = 32,576,256,316.94
  5. Step 5: Solve for x
    x = 32,576,256,316.94/213,813.36
  6. Step 6: Final answer
    x = 152,358.38

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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.