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Finding the Fourth Proportional to 193,321, 266,829.06 and 117,932.68

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Solution

The fourth proportional to 193,321, 266,829.06 and 117,932.68 is: 162,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,321 : 266,829.06 = 117,932.68 : x
  2. Step 2: Convert to fraction form
    193,321/266,829.06 = 117,932.68/x
  3. Step 3: Cross multiply
    193,321x = 266,829.06 × 117,932.68
  4. Step 4: Simplify right side
    193,321x = 31,467,866,147.68
  5. Step 5: Solve for x
    x = 31,467,866,147.68/193,321
  6. Step 6: Final answer
    x = 162,775.21

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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.