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Finding the Fourth Proportional to 194,652.75, 268,570.05 and 114,036.96

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Solution

The fourth proportional to 194,652.75, 268,570.05 and 114,036.96 is: 157,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,652.75 : 268,570.05 = 114,036.96 : x
  2. Step 2: Convert to fraction form
    194,652.75/268,570.05 = 114,036.96/x
  3. Step 3: Cross multiply
    194,652.75x = 268,570.05 × 114,036.96
  4. Step 4: Simplify right side
    194,652.75x = 30,626,912,628.55
  5. Step 5: Solve for x
    x = 30,626,912,628.55/194,652.75
  6. Step 6: Final answer
    x = 157,341.28

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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.