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Finding the Fourth Proportional to 137,505.37, 206,258.22 and 37,666.42

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Solution

The fourth proportional to 137,505.37, 206,258.22 and 37,666.42 is: 56,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,505.37 : 206,258.22 = 37,666.42 : x
  2. Step 2: Convert to fraction form
    137,505.37/206,258.22 = 37,666.42/x
  3. Step 3: Cross multiply
    137,505.37x = 206,258.22 × 37,666.42
  4. Step 4: Simplify right side
    137,505.37x = 7,769,008,554.64
  5. Step 5: Solve for x
    x = 7,769,008,554.64/137,505.37
  6. Step 6: Final answer
    x = 56,499.67

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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.