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Finding the Fourth Proportional to 194,440, 291,711.84 and 95,944

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Solution

The fourth proportional to 194,440, 291,711.84 and 95,944 is: 143,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,440 : 291,711.84 = 95,944 : x
  2. Step 2: Convert to fraction form
    194,440/291,711.84 = 95,944/x
  3. Step 3: Cross multiply
    194,440x = 291,711.84 × 95,944
  4. Step 4: Simplify right side
    194,440x = 27,988,000,776.96
  5. Step 5: Solve for x
    x = 27,988,000,776.96/194,440
  6. Step 6: Final answer
    x = 143,941.58

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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.