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Finding the Fourth Proportional to 189,073.28, 283,592.64 and 57,745.28

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Solution

The fourth proportional to 189,073.28, 283,592.64 and 57,745.28 is: 86,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,073.28 : 283,592.64 = 57,745.28 : x
  2. Step 2: Convert to fraction form
    189,073.28/283,592.64 = 57,745.28/x
  3. Step 3: Cross multiply
    189,073.28x = 283,592.64 × 57,745.28
  4. Step 4: Simplify right side
    189,073.28x = 16,376,136,402.74
  5. Step 5: Solve for x
    x = 16,376,136,402.74/189,073.28
  6. Step 6: Final answer
    x = 86,612.64

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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.