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Finding the Fourth Proportional to 194,499, 268,408.62 and 105,075

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Solution

The fourth proportional to 194,499, 268,408.62 and 105,075 is: 145,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,499 : 268,408.62 = 105,075 : x
  2. Step 2: Convert to fraction form
    194,499/268,408.62 = 105,075/x
  3. Step 3: Cross multiply
    194,499x = 268,408.62 × 105,075
  4. Step 4: Simplify right side
    194,499x = 28,203,035,746.50
  5. Step 5: Solve for x
    x = 28,203,035,746.50/194,499
  6. Step 6: Final answer
    x = 145,003.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.