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Finding the Fourth Proportional to 221,514.56, 305,583.84 and 145,000.16

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Solution

The fourth proportional to 221,514.56, 305,583.84 and 145,000.16 is: 200,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,514.56 : 305,583.84 = 145,000.16 : x
  2. Step 2: Convert to fraction form
    221,514.56/305,583.84 = 145,000.16/x
  3. Step 3: Cross multiply
    221,514.56x = 305,583.84 × 145,000.16
  4. Step 4: Simplify right side
    221,514.56x = 44,309,705,693.41
  5. Step 5: Solve for x
    x = 44,309,705,693.41/221,514.56
  6. Step 6: Final answer
    x = 200,030.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.