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Finding the Fourth Proportional to 293,672.40, 440,623.80 and 106,702.80

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Solution

The fourth proportional to 293,672.40, 440,623.80 and 106,702.80 is: 160,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,672.40 : 440,623.80 = 106,702.80 : x
  2. Step 2: Convert to fraction form
    293,672.40/440,623.80 = 106,702.80/x
  3. Step 3: Cross multiply
    293,672.40x = 440,623.80 × 106,702.80
  4. Step 4: Simplify right side
    293,672.40x = 47,015,793,206.64
  5. Step 5: Solve for x
    x = 47,015,793,206.64/293,672.40
  6. Step 6: Final answer
    x = 160,096.06

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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.