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Finding the Fourth Proportional to 300,188.35, 450,459.31 and 110,782.00

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Solution

The fourth proportional to 300,188.35, 450,459.31 and 110,782.00 is: 166,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,188.35 : 450,459.31 = 110,782.00 : x
  2. Step 2: Convert to fraction form
    300,188.35/450,459.31 = 110,782.00/x
  3. Step 3: Cross multiply
    300,188.35x = 450,459.31 × 110,782.00
  4. Step 4: Simplify right side
    300,188.35x = 49,902,781,877.32
  5. Step 5: Solve for x
    x = 49,902,781,877.32/300,188.35
  6. Step 6: Final answer
    x = 166,238.24

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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.