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Finding the Fourth Proportional to 99,782.20, 149,308.80 and 73,538.20

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Solution

The fourth proportional to 99,782.20, 149,308.80 and 73,538.20 is: 110,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782.20 : 149,308.80 = 73,538.20 : x
  2. Step 2: Convert to fraction form
    99,782.20/149,308.80 = 73,538.20/x
  3. Step 3: Cross multiply
    99,782.20x = 149,308.80 × 73,538.20
  4. Step 4: Simplify right side
    99,782.20x = 10,979,900,396.16
  5. Step 5: Solve for x
    x = 10,979,900,396.16/99,782.20
  6. Step 6: Final answer
    x = 110,038.67

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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.