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Finding the Fourth Proportional to 189,653.68, 284,491.47 and 71,326.05

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Solution

The fourth proportional to 189,653.68, 284,491.47 and 71,326.05 is: 106,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,653.68 : 284,491.47 = 71,326.05 : x
  2. Step 2: Convert to fraction form
    189,653.68/284,491.47 = 71,326.05/x
  3. Step 3: Cross multiply
    189,653.68x = 284,491.47 × 71,326.05
  4. Step 4: Simplify right side
    189,653.68x = 20,291,652,813.79
  5. Step 5: Solve for x
    x = 20,291,652,813.79/189,653.68
  6. Step 6: Final answer
    x = 106,993.19

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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.