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Finding the Fourth Proportional to 193,684.89, 267,316.92 and 161,368.32

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Solution

The fourth proportional to 193,684.89, 267,316.92 and 161,368.32 is: 222,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,684.89 : 267,316.92 = 161,368.32 : x
  2. Step 2: Convert to fraction form
    193,684.89/267,316.92 = 161,368.32/x
  3. Step 3: Cross multiply
    193,684.89x = 267,316.92 × 161,368.32
  4. Step 4: Simplify right side
    193,684.89x = 43,136,482,287.97
  5. Step 5: Solve for x
    x = 43,136,482,287.97/193,684.89
  6. Step 6: Final answer
    x = 222,714.75

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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.