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Finding the Fourth Proportional to 213,224.88, 294,248.28 and 117,729.54

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Solution

The fourth proportional to 213,224.88, 294,248.28 and 117,729.54 is: 162,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.88 : 294,248.28 = 117,729.54 : x
  2. Step 2: Convert to fraction form
    213,224.88/294,248.28 = 117,729.54/x
  3. Step 3: Cross multiply
    213,224.88x = 294,248.28 × 117,729.54
  4. Step 4: Simplify right side
    213,224.88x = 34,641,714,650.19
  5. Step 5: Solve for x
    x = 34,641,714,650.19/213,224.88
  6. Step 6: Final answer
    x = 162,465.63

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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.