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Finding the Fourth Proportional to 194,378.68, 291,584.74 and 54,137.32

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Solution

The fourth proportional to 194,378.68, 291,584.74 and 54,137.32 is: 81,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,378.68 : 291,584.74 = 54,137.32 : x
  2. Step 2: Convert to fraction form
    194,378.68/291,584.74 = 54,137.32/x
  3. Step 3: Cross multiply
    194,378.68x = 291,584.74 × 54,137.32
  4. Step 4: Simplify right side
    194,378.68x = 15,785,616,376.50
  5. Step 5: Solve for x
    x = 15,785,616,376.50/194,378.68
  6. Step 6: Final answer
    x = 81,210.64

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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.