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Finding the Fourth Proportional to 189,602.06, 284,486.12 and 89,833.56

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Solution

The fourth proportional to 189,602.06, 284,486.12 and 89,833.56 is: 134,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602.06 : 284,486.12 = 89,833.56 : x
  2. Step 2: Convert to fraction form
    189,602.06/284,486.12 = 89,833.56/x
  3. Step 3: Cross multiply
    189,602.06x = 284,486.12 × 89,833.56
  4. Step 4: Simplify right side
    189,602.06x = 25,556,400,930.19
  5. Step 5: Solve for x
    x = 25,556,400,930.19/189,602.06
  6. Step 6: Final answer
    x = 134,789.68

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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.