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Finding the Fourth Proportional to 213,588.69, 294,749.16 and 116,792.86

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Solution

The fourth proportional to 213,588.69, 294,749.16 and 116,792.86 is: 161,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588.69 : 294,749.16 = 116,792.86 : x
  2. Step 2: Convert to fraction form
    213,588.69/294,749.16 = 116,792.86/x
  3. Step 3: Cross multiply
    213,588.69x = 294,749.16 × 116,792.86
  4. Step 4: Simplify right side
    213,588.69x = 34,424,595,321.29
  5. Step 5: Solve for x
    x = 34,424,595,321.29/213,588.69
  6. Step 6: Final answer
    x = 161,172.37

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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.