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Finding the Fourth Proportional to 189,678.97, 284,434.62 and 100,911.41

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Solution

The fourth proportional to 189,678.97, 284,434.62 and 100,911.41 is: 151,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,678.97 : 284,434.62 = 100,911.41 : x
  2. Step 2: Convert to fraction form
    189,678.97/284,434.62 = 100,911.41/x
  3. Step 3: Cross multiply
    189,678.97x = 284,434.62 × 100,911.41
  4. Step 4: Simplify right side
    189,678.97x = 28,702,698,557.01
  5. Step 5: Solve for x
    x = 28,702,698,557.01/189,678.97
  6. Step 6: Final answer
    x = 151,322.51

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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.