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Finding the Fourth Proportional to 133,506.20, 199,967.70 and 103,690.10

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Solution

The fourth proportional to 133,506.20, 199,967.70 and 103,690.10 is: 155,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.20 : 199,967.70 = 103,690.10 : x
  2. Step 2: Convert to fraction form
    133,506.20/199,967.70 = 103,690.10/x
  3. Step 3: Cross multiply
    133,506.20x = 199,967.70 × 103,690.10
  4. Step 4: Simplify right side
    133,506.20x = 20,734,670,809.77
  5. Step 5: Solve for x
    x = 20,734,670,809.77/133,506.20
  6. Step 6: Final answer
    x = 155,308.67

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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.