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Finding the Fourth Proportional to 253,574.25, 349,943.40 and 140,397

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Solution

The fourth proportional to 253,574.25, 349,943.40 and 140,397 is: 193,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,574.25 : 349,943.40 = 140,397 : x
  2. Step 2: Convert to fraction form
    253,574.25/349,943.40 = 140,397/x
  3. Step 3: Cross multiply
    253,574.25x = 349,943.40 × 140,397
  4. Step 4: Simplify right side
    253,574.25x = 49,131,003,529.80
  5. Step 5: Solve for x
    x = 49,131,003,529.80/253,574.25
  6. Step 6: Final answer
    x = 193,753.91

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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.