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Finding the Fourth Proportional to 305,444.48, 458,198.16 and 105,764.48

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Solution

The fourth proportional to 305,444.48, 458,198.16 and 105,764.48 is: 158,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,444.48 : 458,198.16 = 105,764.48 : x
  2. Step 2: Convert to fraction form
    305,444.48/458,198.16 = 105,764.48/x
  3. Step 3: Cross multiply
    305,444.48x = 458,198.16 × 105,764.48
  4. Step 4: Simplify right side
    305,444.48x = 48,461,090,129.36
  5. Step 5: Solve for x
    x = 48,461,090,129.36/305,444.48
  6. Step 6: Final answer
    x = 158,657.61

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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.