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Finding the Fourth Proportional to 100,698.60, 151,043.10 and 34,132.20

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Solution

The fourth proportional to 100,698.60, 151,043.10 and 34,132.20 is: 51,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.60 : 151,043.10 = 34,132.20 : x
  2. Step 2: Convert to fraction form
    100,698.60/151,043.10 = 34,132.20/x
  3. Step 3: Cross multiply
    100,698.60x = 151,043.10 × 34,132.20
  4. Step 4: Simplify right side
    100,698.60x = 5,155,433,297.82
  5. Step 5: Solve for x
    x = 5,155,433,297.82/100,698.60
  6. Step 6: Final answer
    x = 51,196.67

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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.