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Finding the Fourth Proportional to 213,590.69, 294,751.91 and 116,794.86

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Solution

The fourth proportional to 213,590.69, 294,751.91 and 116,794.86 is: 161,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,590.69 : 294,751.91 = 116,794.86 : x
  2. Step 2: Convert to fraction form
    213,590.69/294,751.91 = 116,794.86/x
  3. Step 3: Cross multiply
    213,590.69x = 294,751.91 × 116,794.86
  4. Step 4: Simplify right side
    213,590.69x = 34,425,508,063.18
  5. Step 5: Solve for x
    x = 34,425,508,063.18/213,590.69
  6. Step 6: Final answer
    x = 161,175.13

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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.