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Finding the Fourth Proportional to 194,436, 291,705.84 and 95,940

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Solution

The fourth proportional to 194,436, 291,705.84 and 95,940 is: 143,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,436 : 291,705.84 = 95,940 : x
  2. Step 2: Convert to fraction form
    194,436/291,705.84 = 95,940/x
  3. Step 3: Cross multiply
    194,436x = 291,705.84 × 95,940
  4. Step 4: Simplify right side
    194,436x = 27,986,258,289.60
  5. Step 5: Solve for x
    x = 27,986,258,289.60/194,436
  6. Step 6: Final answer
    x = 143,935.58

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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.