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Finding the Fourth Proportional to 213,418.61, 294,518.46 and 116,622.47

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Solution

The fourth proportional to 213,418.61, 294,518.46 and 116,622.47 is: 160,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,418.61 : 294,518.46 = 116,622.47 : x
  2. Step 2: Convert to fraction form
    213,418.61/294,518.46 = 116,622.47/x
  3. Step 3: Cross multiply
    213,418.61x = 294,518.46 × 116,622.47
  4. Step 4: Simplify right side
    213,418.61x = 34,347,470,783.43
  5. Step 5: Solve for x
    x = 34,347,470,783.43/213,418.61
  6. Step 6: Final answer
    x = 160,939.43

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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.