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Finding the Fourth Proportional to 218,414.13, 301,504.50 and 146,835.67

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Solution

The fourth proportional to 218,414.13, 301,504.50 and 146,835.67 is: 202,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414.13 : 301,504.50 = 146,835.67 : x
  2. Step 2: Convert to fraction form
    218,414.13/301,504.50 = 146,835.67/x
  3. Step 3: Cross multiply
    218,414.13x = 301,504.50 × 146,835.67
  4. Step 4: Simplify right side
    218,414.13x = 44,271,614,511.75
  5. Step 5: Solve for x
    x = 44,271,614,511.75/218,414.13
  6. Step 6: Final answer
    x = 202,695.74

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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.