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Finding the Fourth Proportional to 253,706.22, 350,029.29 and 146,273.91

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Solution

The fourth proportional to 253,706.22, 350,029.29 and 146,273.91 is: 201,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,706.22 : 350,029.29 = 146,273.91 : x
  2. Step 2: Convert to fraction form
    253,706.22/350,029.29 = 146,273.91/x
  3. Step 3: Cross multiply
    253,706.22x = 350,029.29 × 146,273.91
  4. Step 4: Simplify right side
    253,706.22x = 51,200,152,862.82
  5. Step 5: Solve for x
    x = 51,200,152,862.82/253,706.22
  6. Step 6: Final answer
    x = 201,808.82

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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.