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Finding the Fourth Proportional to 253,450.96, 349,723.32 and 146,000

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Solution

The fourth proportional to 253,450.96, 349,723.32 and 146,000 is: 201,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,450.96 : 349,723.32 = 146,000 : x
  2. Step 2: Convert to fraction form
    253,450.96/349,723.32 = 146,000/x
  3. Step 3: Cross multiply
    253,450.96x = 349,723.32 × 146,000
  4. Step 4: Simplify right side
    253,450.96x = 51,059,604,720
  5. Step 5: Solve for x
    x = 51,059,604,720/253,450.96
  6. Step 6: Final answer
    x = 201,457.53

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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.