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Finding the Fourth Proportional to 211,104.69, 291,324.92 and 114,309.60

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Solution

The fourth proportional to 211,104.69, 291,324.92 and 114,309.60 is: 157,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,104.69 : 291,324.92 = 114,309.60 : x
  2. Step 2: Convert to fraction form
    211,104.69/291,324.92 = 114,309.60/x
  3. Step 3: Cross multiply
    211,104.69x = 291,324.92 × 114,309.60
  4. Step 4: Simplify right side
    211,104.69x = 33,301,234,503.68
  5. Step 5: Solve for x
    x = 33,301,234,503.68/211,104.69
  6. Step 6: Final answer
    x = 157,747.49

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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.