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Finding the Fourth Proportional to 194,141.84, 291,212.88 and 53,900.48

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Solution

The fourth proportional to 194,141.84, 291,212.88 and 53,900.48 is: 80,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141.84 : 291,212.88 = 53,900.48 : x
  2. Step 2: Convert to fraction form
    194,141.84/291,212.88 = 53,900.48/x
  3. Step 3: Cross multiply
    194,141.84x = 291,212.88 × 53,900.48
  4. Step 4: Simplify right side
    194,141.84x = 15,696,514,014.18
  5. Step 5: Solve for x
    x = 15,696,514,014.18/194,141.84
  6. Step 6: Final answer
    x = 80,850.75

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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.