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Finding the Fourth Proportional to 305,515.61, 458,164.05 and 105,782.37

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Solution

The fourth proportional to 305,515.61, 458,164.05 and 105,782.37 is: 158,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,515.61 : 458,164.05 = 105,782.37 : x
  2. Step 2: Convert to fraction form
    305,515.61/458,164.05 = 105,782.37/x
  3. Step 3: Cross multiply
    305,515.61x = 458,164.05 × 105,782.37
  4. Step 4: Simplify right side
    305,515.61x = 48,465,679,057.80
  5. Step 5: Solve for x
    x = 48,465,679,057.80/305,515.61
  6. Step 6: Final answer
    x = 158,635.69

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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.