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Finding the Fourth Proportional to 214,329.78, 295,762.79 and 117,514.94

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Solution

The fourth proportional to 214,329.78, 295,762.79 and 117,514.94 is: 162,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,329.78 : 295,762.79 = 117,514.94 : x
  2. Step 2: Convert to fraction form
    214,329.78/295,762.79 = 117,514.94/x
  3. Step 3: Cross multiply
    214,329.78x = 295,762.79 × 117,514.94
  4. Step 4: Simplify right side
    214,329.78x = 34,756,545,336.06
  5. Step 5: Solve for x
    x = 34,756,545,336.06/214,329.78
  6. Step 6: Final answer
    x = 162,163.86

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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.