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Finding the Fourth Proportional to 189,284.38, 284,101.53 and 95,855.74

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Solution

The fourth proportional to 189,284.38, 284,101.53 and 95,855.74 is: 143,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,284.38 : 284,101.53 = 95,855.74 : x
  2. Step 2: Convert to fraction form
    189,284.38/284,101.53 = 95,855.74/x
  3. Step 3: Cross multiply
    189,284.38x = 284,101.53 × 95,855.74
  4. Step 4: Simplify right side
    189,284.38x = 27,232,762,393.28
  5. Step 5: Solve for x
    x = 27,232,762,393.28/189,284.38
  6. Step 6: Final answer
    x = 143,872.21

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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.