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Finding the Fourth Proportional to 305,615.88, 458,319.98 and 105,889.64

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Solution

The fourth proportional to 305,615.88, 458,319.98 and 105,889.64 is: 158,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,615.88 : 458,319.98 = 105,889.64 : x
  2. Step 2: Convert to fraction form
    305,615.88/458,319.98 = 105,889.64/x
  3. Step 3: Cross multiply
    305,615.88x = 458,319.98 × 105,889.64
  4. Step 4: Simplify right side
    305,615.88x = 48,531,337,687.01
  5. Step 5: Solve for x
    x = 48,531,337,687.01/305,615.88
  6. Step 6: Final answer
    x = 158,798.48

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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.