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Finding the Fourth Proportional to 254,312.92, 381,450.89 and 102,520.08

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Solution

The fourth proportional to 254,312.92, 381,450.89 and 102,520.08 is: 153,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,312.92 : 381,450.89 = 102,520.08 : x
  2. Step 2: Convert to fraction form
    254,312.92/381,450.89 = 102,520.08/x
  3. Step 3: Cross multiply
    254,312.92x = 381,450.89 × 102,520.08
  4. Step 4: Simplify right side
    254,312.92x = 39,106,375,438.50
  5. Step 5: Solve for x
    x = 39,106,375,438.50/254,312.92
  6. Step 6: Final answer
    x = 153,772.67

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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.