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Finding the Fourth Proportional to 149,878.72, 224,928.95 and 70,993.13

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Solution

The fourth proportional to 149,878.72, 224,928.95 and 70,993.13 is: 106,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,878.72 : 224,928.95 = 70,993.13 : x
  2. Step 2: Convert to fraction form
    149,878.72/224,928.95 = 70,993.13/x
  3. Step 3: Cross multiply
    149,878.72x = 224,928.95 × 70,993.13
  4. Step 4: Simplify right side
    149,878.72x = 15,968,410,188.11
  5. Step 5: Solve for x
    x = 15,968,410,188.11/149,878.72
  6. Step 6: Final answer
    x = 106,542.21

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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.