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Finding the Fourth Proportional to 213,476.72, 294,733.72 and 133,022.45

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Solution

The fourth proportional to 213,476.72, 294,733.72 and 133,022.45 is: 183,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,476.72 : 294,733.72 = 133,022.45 : x
  2. Step 2: Convert to fraction form
    213,476.72/294,733.72 = 133,022.45/x
  3. Step 3: Cross multiply
    213,476.72x = 294,733.72 × 133,022.45
  4. Step 4: Simplify right side
    213,476.72x = 39,206,202,435.13
  5. Step 5: Solve for x
    x = 39,206,202,435.13/213,476.72
  6. Step 6: Final answer
    x = 183,655.64

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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.