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Finding the Fourth Proportional to 193,967.64, 267,613 and 117,462.32

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Solution

The fourth proportional to 193,967.64, 267,613 and 117,462.32 is: 162,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,967.64 : 267,613 = 117,462.32 : x
  2. Step 2: Convert to fraction form
    193,967.64/267,613 = 117,462.32/x
  3. Step 3: Cross multiply
    193,967.64x = 267,613 × 117,462.32
  4. Step 4: Simplify right side
    193,967.64x = 31,434,443,842.16
  5. Step 5: Solve for x
    x = 31,434,443,842.16/193,967.64
  6. Step 6: Final answer
    x = 162,060.25

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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.