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Finding the Fourth Proportional to 189,008.64, 283,425.48 and 110,145.42

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Solution

The fourth proportional to 189,008.64, 283,425.48 and 110,145.42 is: 165,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.64 : 283,425.48 = 110,145.42 : x
  2. Step 2: Convert to fraction form
    189,008.64/283,425.48 = 110,145.42/x
  3. Step 3: Cross multiply
    189,008.64x = 283,425.48 × 110,145.42
  4. Step 4: Simplify right side
    189,008.64x = 31,218,018,533.30
  5. Step 5: Solve for x
    x = 31,218,018,533.30/189,008.64
  6. Step 6: Final answer
    x = 165,167.15

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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.