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Finding the Fourth Proportional to 149,909.20, 224,928.60 and 76,037.20

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Solution

The fourth proportional to 149,909.20, 224,928.60 and 76,037.20 is: 114,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,909.20 : 224,928.60 = 76,037.20 : x
  2. Step 2: Convert to fraction form
    149,909.20/224,928.60 = 76,037.20/x
  3. Step 3: Cross multiply
    149,909.20x = 224,928.60 × 76,037.20
  4. Step 4: Simplify right side
    149,909.20x = 17,102,940,943.92
  5. Step 5: Solve for x
    x = 17,102,940,943.92/149,909.20
  6. Step 6: Final answer
    x = 114,088.67

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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.