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Finding the Fourth Proportional to 253,471.44, 349,868.46 and 146,113.24

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Solution

The fourth proportional to 253,471.44, 349,868.46 and 146,113.24 is: 201,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.44 : 349,868.46 = 146,113.24 : x
  2. Step 2: Convert to fraction form
    253,471.44/349,868.46 = 146,113.24/x
  3. Step 3: Cross multiply
    253,471.44x = 349,868.46 × 146,113.24
  4. Step 4: Simplify right side
    253,471.44x = 51,120,414,264.41
  5. Step 5: Solve for x
    x = 51,120,414,264.41/253,471.44
  6. Step 6: Final answer
    x = 201,681.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.