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Finding the Fourth Proportional to 253,776.25, 350,222.70 and 140,599

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Solution

The fourth proportional to 253,776.25, 350,222.70 and 140,599 is: 194,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,776.25 : 350,222.70 = 140,599 : x
  2. Step 2: Convert to fraction form
    253,776.25/350,222.70 = 140,599/x
  3. Step 3: Cross multiply
    253,776.25x = 350,222.70 × 140,599
  4. Step 4: Simplify right side
    253,776.25x = 49,240,961,397.30
  5. Step 5: Solve for x
    x = 49,240,961,397.30/253,776.25
  6. Step 6: Final answer
    x = 194,032.98

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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.