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Finding the Fourth Proportional to 194,330, 268,292.04 and 127,378.64

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Solution

The fourth proportional to 194,330, 268,292.04 and 127,378.64 is: 175,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,330 : 268,292.04 = 127,378.64 : x
  2. Step 2: Convert to fraction form
    194,330/268,292.04 = 127,378.64/x
  3. Step 3: Cross multiply
    194,330x = 268,292.04 × 127,378.64
  4. Step 4: Simplify right side
    194,330x = 34,174,675,178.03
  5. Step 5: Solve for x
    x = 34,174,675,178.03/194,330
  6. Step 6: Final answer
    x = 175,858.98

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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.