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Finding the Fourth Proportional to 135,657.84, 203,515.95 and 45,709.50

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Solution

The fourth proportional to 135,657.84, 203,515.95 and 45,709.50 is: 68,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657.84 : 203,515.95 = 45,709.50 : x
  2. Step 2: Convert to fraction form
    135,657.84/203,515.95 = 45,709.50/x
  3. Step 3: Cross multiply
    135,657.84x = 203,515.95 × 45,709.50
  4. Step 4: Simplify right side
    135,657.84x = 9,302,612,316.53
  5. Step 5: Solve for x
    x = 9,302,612,316.53/135,657.84
  6. Step 6: Final answer
    x = 68,574.09

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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.