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Finding the Fourth Proportional to 254,506.65, 381,675.21 and 102,664.50

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Solution

The fourth proportional to 254,506.65, 381,675.21 and 102,664.50 is: 153,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,506.65 : 381,675.21 = 102,664.50 : x
  2. Step 2: Convert to fraction form
    254,506.65/381,675.21 = 102,664.50/x
  3. Step 3: Cross multiply
    254,506.65x = 381,675.21 × 102,664.50
  4. Step 4: Simplify right side
    254,506.65x = 39,184,494,597.05
  5. Step 5: Solve for x
    x = 39,184,494,597.05/254,506.65
  6. Step 6: Final answer
    x = 153,962.56

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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.