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Finding the Fourth Proportional to 365,821.14, 548,676.33 and 99,602.64

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Solution

The fourth proportional to 365,821.14, 548,676.33 and 99,602.64 is: 149,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,821.14 : 548,676.33 = 99,602.64 : x
  2. Step 2: Convert to fraction form
    365,821.14/548,676.33 = 99,602.64/x
  3. Step 3: Cross multiply
    365,821.14x = 548,676.33 × 99,602.64
  4. Step 4: Simplify right side
    365,821.14x = 54,649,610,973.51
  5. Step 5: Solve for x
    x = 54,649,610,973.51/365,821.14
  6. Step 6: Final answer
    x = 149,388.88

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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.