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Finding the Fourth Proportional to 130,211.40, 194,782.38 and 103,967.40

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Solution

The fourth proportional to 130,211.40, 194,782.38 and 103,967.40 is: 155,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,211.40 : 194,782.38 = 103,967.40 : x
  2. Step 2: Convert to fraction form
    130,211.40/194,782.38 = 103,967.40/x
  3. Step 3: Cross multiply
    130,211.40x = 194,782.38 × 103,967.40
  4. Step 4: Simplify right side
    130,211.40x = 20,251,017,614.41
  5. Step 5: Solve for x
    x = 20,251,017,614.41/130,211.40
  6. Step 6: Final answer
    x = 155,524.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.