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Finding the Fourth Proportional to 189,143.12, 283,758.84 and 64,484.24

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Solution

The fourth proportional to 189,143.12, 283,758.84 and 64,484.24 is: 96,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,143.12 : 283,758.84 = 64,484.24 : x
  2. Step 2: Convert to fraction form
    189,143.12/283,758.84 = 64,484.24/x
  3. Step 3: Cross multiply
    189,143.12x = 283,758.84 × 64,484.24
  4. Step 4: Simplify right side
    189,143.12x = 18,297,973,140.68
  5. Step 5: Solve for x
    x = 18,297,973,140.68/189,143.12
  6. Step 6: Final answer
    x = 96,741.42

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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.