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Finding the Fourth Proportional to 194,702.29, 268,810.80 and 149,293.05

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Solution

The fourth proportional to 194,702.29, 268,810.80 and 149,293.05 is: 206,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702.29 : 268,810.80 = 149,293.05 : x
  2. Step 2: Convert to fraction form
    194,702.29/268,810.80 = 149,293.05/x
  3. Step 3: Cross multiply
    194,702.29x = 268,810.80 × 149,293.05
  4. Step 4: Simplify right side
    194,702.29x = 40,131,582,860.89
  5. Step 5: Solve for x
    x = 40,131,582,860.89/194,702.29
  6. Step 6: Final answer
    x = 206,117.67

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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.