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Finding the Fourth Proportional to 253,469.44, 349,865.70 and 146,111.24

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Solution

The fourth proportional to 253,469.44, 349,865.70 and 146,111.24 is: 201,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,469.44 : 349,865.70 = 146,111.24 : x
  2. Step 2: Convert to fraction form
    253,469.44/349,865.70 = 146,111.24/x
  3. Step 3: Cross multiply
    253,469.44x = 349,865.70 × 146,111.24
  4. Step 4: Simplify right side
    253,469.44x = 51,119,311,260.47
  5. Step 5: Solve for x
    x = 51,119,311,260.47/253,469.44
  6. Step 6: Final answer
    x = 201,678.40

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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.