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Finding the Fourth Proportional to 141,468.64, 212,197.92 and 36,288.64

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Solution

The fourth proportional to 141,468.64, 212,197.92 and 36,288.64 is: 54,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,468.64 : 212,197.92 = 36,288.64 : x
  2. Step 2: Convert to fraction form
    141,468.64/212,197.92 = 36,288.64/x
  3. Step 3: Cross multiply
    141,468.64x = 212,197.92 × 36,288.64
  4. Step 4: Simplify right side
    141,468.64x = 7,700,373,927.63
  5. Step 5: Solve for x
    x = 7,700,373,927.63/141,468.64
  6. Step 6: Final answer
    x = 54,431.67

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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.