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Finding the Fourth Proportional to 135,520.23, 203,312.64 and 46,774.50

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Solution

The fourth proportional to 135,520.23, 203,312.64 and 46,774.50 is: 70,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,520.23 : 203,312.64 = 46,774.50 : x
  2. Step 2: Convert to fraction form
    135,520.23/203,312.64 = 46,774.50/x
  3. Step 3: Cross multiply
    135,520.23x = 203,312.64 × 46,774.50
  4. Step 4: Simplify right side
    135,520.23x = 9,509,847,079.68
  5. Step 5: Solve for x
    x = 9,509,847,079.68/135,520.23
  6. Step 6: Final answer
    x = 70,172.90

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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.