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Finding the Fourth Proportional to 194,167.44, 291,292.70 and 109,967.40

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Solution

The fourth proportional to 194,167.44, 291,292.70 and 109,967.40 is: 164,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,167.44 : 291,292.70 = 109,967.40 : x
  2. Step 2: Convert to fraction form
    194,167.44/291,292.70 = 109,967.40/x
  3. Step 3: Cross multiply
    194,167.44x = 291,292.70 × 109,967.40
  4. Step 4: Simplify right side
    194,167.44x = 32,032,700,857.98
  5. Step 5: Solve for x
    x = 32,032,700,857.98/194,167.44
  6. Step 6: Final answer
    x = 164,974.63

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1.5x scale

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.