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Finding the Fourth Proportional to 365,918.44, 548,800.86 and 103,201

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Solution

The fourth proportional to 365,918.44, 548,800.86 and 103,201 is: 154,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,918.44 : 548,800.86 = 103,201 : x
  2. Step 2: Convert to fraction form
    365,918.44/548,800.86 = 103,201/x
  3. Step 3: Cross multiply
    365,918.44x = 548,800.86 × 103,201
  4. Step 4: Simplify right side
    365,918.44x = 56,636,797,552.86
  5. Step 5: Solve for x
    x = 56,636,797,552.86/365,918.44
  6. Step 6: Final answer
    x = 154,779.84

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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.