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Finding the Fourth Proportional to 213,081.92, 294,043.82 and 116,283.32

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Solution

The fourth proportional to 213,081.92, 294,043.82 and 116,283.32 is: 160,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,081.92 : 294,043.82 = 116,283.32 : x
  2. Step 2: Convert to fraction form
    213,081.92/294,043.82 = 116,283.32/x
  3. Step 3: Cross multiply
    213,081.92x = 294,043.82 × 116,283.32
  4. Step 4: Simplify right side
    213,081.92x = 34,192,391,615.08
  5. Step 5: Solve for x
    x = 34,192,391,615.08/213,081.92
  6. Step 6: Final answer
    x = 160,465.94

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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.