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Finding the Fourth Proportional to 100,298.50, 150,289.30 and 37,031.43

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Solution

The fourth proportional to 100,298.50, 150,289.30 and 37,031.43 is: 55,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.50 : 150,289.30 = 37,031.43 : x
  2. Step 2: Convert to fraction form
    100,298.50/150,289.30 = 37,031.43/x
  3. Step 3: Cross multiply
    100,298.50x = 150,289.30 × 37,031.43
  4. Step 4: Simplify right side
    100,298.50x = 5,565,427,353.04
  5. Step 5: Solve for x
    x = 5,565,427,353.04/100,298.50
  6. Step 6: Final answer
    x = 55,488.64

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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.