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Finding the Fourth Proportional to 194,570.62, 291,856.74 and 54,328.84

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Solution

The fourth proportional to 194,570.62, 291,856.74 and 54,328.84 is: 81,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,570.62 : 291,856.74 = 54,328.84 : x
  2. Step 2: Convert to fraction form
    194,570.62/291,856.74 = 54,328.84/x
  3. Step 3: Cross multiply
    194,570.62x = 291,856.74 × 54,328.84
  4. Step 4: Simplify right side
    194,570.62x = 15,856,238,130.38
  5. Step 5: Solve for x
    x = 15,856,238,130.38/194,570.62
  6. Step 6: Final answer
    x = 81,493.49

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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.