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Finding the Fourth Proportional to 103,897.76, 155,845.68 and 44,775.20

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Solution

The fourth proportional to 103,897.76, 155,845.68 and 44,775.20 is: 67,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,897.76 : 155,845.68 = 44,775.20 : x
  2. Step 2: Convert to fraction form
    103,897.76/155,845.68 = 44,775.20/x
  3. Step 3: Cross multiply
    103,897.76x = 155,845.68 × 44,775.20
  4. Step 4: Simplify right side
    103,897.76x = 6,978,021,491.14
  5. Step 5: Solve for x
    x = 6,978,021,491.14/103,897.76
  6. Step 6: Final answer
    x = 67,162.39

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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.