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Finding the Fourth Proportional to 213,369.14, 294,469.79 and 116,587.71

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Solution

The fourth proportional to 213,369.14, 294,469.79 and 116,587.71 is: 160,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.14 : 294,469.79 = 116,587.71 : x
  2. Step 2: Convert to fraction form
    213,369.14/294,469.79 = 116,587.71/x
  3. Step 3: Cross multiply
    213,369.14x = 294,469.79 × 116,587.71
  4. Step 4: Simplify right side
    213,369.14x = 34,331,558,771.75
  5. Step 5: Solve for x
    x = 34,331,558,771.75/213,369.14
  6. Step 6: Final answer
    x = 160,902.17

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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.