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Finding the Fourth Proportional to 189,526.92, 284,334.12 and 100,865.94

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Solution

The fourth proportional to 189,526.92, 284,334.12 and 100,865.94 is: 151,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,526.92 : 284,334.12 = 100,865.94 : x
  2. Step 2: Convert to fraction form
    189,526.92/284,334.12 = 100,865.94/x
  3. Step 3: Cross multiply
    189,526.92x = 284,334.12 × 100,865.94
  4. Step 4: Simplify right side
    189,526.92x = 28,679,628,287.87
  5. Step 5: Solve for x
    x = 28,679,628,287.87/189,526.92
  6. Step 6: Final answer
    x = 151,322.19

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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.