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Finding the Fourth Proportional to 213,228.88, 294,253.80 and 117,733.54

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Solution

The fourth proportional to 213,228.88, 294,253.80 and 117,733.54 is: 162,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228.88 : 294,253.80 = 117,733.54 : x
  2. Step 2: Convert to fraction form
    213,228.88/294,253.80 = 117,733.54/x
  3. Step 3: Cross multiply
    213,228.88x = 294,253.80 × 117,733.54
  4. Step 4: Simplify right side
    213,228.88x = 34,643,541,532.45
  5. Step 5: Solve for x
    x = 34,643,541,532.45/213,228.88
  6. Step 6: Final answer
    x = 162,471.15

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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.