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Finding the Fourth Proportional to 189,883.59, 284,573.88 and 100,945.59

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Solution

The fourth proportional to 189,883.59, 284,573.88 and 100,945.59 is: 151,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,883.59 : 284,573.88 = 100,945.59 : x
  2. Step 2: Convert to fraction form
    189,883.59/284,573.88 = 100,945.59/x
  3. Step 3: Cross multiply
    189,883.59x = 284,573.88 × 100,945.59
  4. Step 4: Simplify right side
    189,883.59x = 28,726,478,215.19
  5. Step 5: Solve for x
    x = 28,726,478,215.19/189,883.59
  6. Step 6: Final answer
    x = 151,284.68

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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.