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Finding the Fourth Proportional to 213,497.56, 294,627.80 and 116,701.56

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Solution

The fourth proportional to 213,497.56, 294,627.80 and 116,701.56 is: 161,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497.56 : 294,627.80 = 116,701.56 : x
  2. Step 2: Convert to fraction form
    213,497.56/294,627.80 = 116,701.56/x
  3. Step 3: Cross multiply
    213,497.56x = 294,627.80 × 116,701.56
  4. Step 4: Simplify right side
    213,497.56x = 34,383,523,879.37
  5. Step 5: Solve for x
    x = 34,383,523,879.37/213,497.56
  6. Step 6: Final answer
    x = 161,048.79

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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.