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Finding the Fourth Proportional to 189,824.32, 284,804.32 and 84,633.92

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Solution

The fourth proportional to 189,824.32, 284,804.32 and 84,633.92 is: 126,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,824.32 : 284,804.32 = 84,633.92 : x
  2. Step 2: Convert to fraction form
    189,824.32/284,804.32 = 84,633.92/x
  3. Step 3: Cross multiply
    189,824.32x = 284,804.32 × 84,633.92
  4. Step 4: Simplify right side
    189,824.32x = 24,104,106,034.53
  5. Step 5: Solve for x
    x = 24,104,106,034.53/189,824.32
  6. Step 6: Final answer
    x = 126,981.13

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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.