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Finding the Fourth Proportional to 103,226, 154,865 and 29,354

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Solution

The fourth proportional to 103,226, 154,865 and 29,354 is: 44,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226 : 154,865 = 29,354 : x
  2. Step 2: Convert to fraction form
    103,226/154,865 = 29,354/x
  3. Step 3: Cross multiply
    103,226x = 154,865 × 29,354
  4. Step 4: Simplify right side
    103,226x = 4,545,907,210
  5. Step 5: Solve for x
    x = 4,545,907,210/103,226
  6. Step 6: Final answer
    x = 44,038.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.