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Finding the Fourth Proportional to 194,482, 291,772.23 and 54,240.63

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Solution

The fourth proportional to 194,482, 291,772.23 and 54,240.63 is: 81,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,482 : 291,772.23 = 54,240.63 : x
  2. Step 2: Convert to fraction form
    194,482/291,772.23 = 54,240.63/x
  3. Step 3: Cross multiply
    194,482x = 291,772.23 × 54,240.63
  4. Step 4: Simplify right side
    194,482x = 15,825,908,112.84
  5. Step 5: Solve for x
    x = 15,825,908,112.84/194,482
  6. Step 6: Final answer
    x = 81,374.67

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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.