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Finding the Fourth Proportional to 194,702.54, 268,693.00 and 114,188.13

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Solution

The fourth proportional to 194,702.54, 268,693.00 and 114,188.13 is: 157,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702.54 : 268,693.00 = 114,188.13 : x
  2. Step 2: Convert to fraction form
    194,702.54/268,693.00 = 114,188.13/x
  3. Step 3: Cross multiply
    194,702.54x = 268,693.00 × 114,188.13
  4. Step 4: Simplify right side
    194,702.54x = 30,681,550,928.62
  5. Step 5: Solve for x
    x = 30,681,550,928.62/194,702.54
  6. Step 6: Final answer
    x = 157,581.67

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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.