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Finding the Fourth Proportional to 110,724.70, 166,038.45 and 44,142.70

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Solution

The fourth proportional to 110,724.70, 166,038.45 and 44,142.70 is: 66,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,724.70 : 166,038.45 = 44,142.70 : x
  2. Step 2: Convert to fraction form
    110,724.70/166,038.45 = 44,142.70/x
  3. Step 3: Cross multiply
    110,724.70x = 166,038.45 × 44,142.70
  4. Step 4: Simplify right side
    110,724.70x = 7,329,385,486.82
  5. Step 5: Solve for x
    x = 7,329,385,486.82/110,724.70
  6. Step 6: Final answer
    x = 66,194.67

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1.5x scale

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.