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Finding the Fourth Proportional to 194,479.64, 291,719.42 and 46,735.64

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Solution

The fourth proportional to 194,479.64, 291,719.42 and 46,735.64 is: 70,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,479.64 : 291,719.42 = 46,735.64 : x
  2. Step 2: Convert to fraction form
    194,479.64/291,719.42 = 46,735.64/x
  3. Step 3: Cross multiply
    194,479.64x = 291,719.42 × 46,735.64
  4. Step 4: Simplify right side
    194,479.64x = 13,633,693,794.13
  5. Step 5: Solve for x
    x = 13,633,693,794.13/194,479.64
  6. Step 6: Final answer
    x = 70,103.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.