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Finding the Fourth Proportional to 189,585.68, 284,431.68 and 82,978.94

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Solution

The fourth proportional to 189,585.68, 284,431.68 and 82,978.94 is: 124,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,585.68 : 284,431.68 = 82,978.94 : x
  2. Step 2: Convert to fraction form
    189,585.68/284,431.68 = 82,978.94/x
  3. Step 3: Cross multiply
    189,585.68x = 284,431.68 × 82,978.94
  4. Step 4: Simplify right side
    189,585.68x = 23,601,839,308.82
  5. Step 5: Solve for x
    x = 23,601,839,308.82/189,585.68
  6. Step 6: Final answer
    x = 124,491.68

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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.