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Finding the Fourth Proportional to 147,611, 203,703.18 and 80,543

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Solution

The fourth proportional to 147,611, 203,703.18 and 80,543 is: 111,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,611 : 203,703.18 = 80,543 : x
  2. Step 2: Convert to fraction form
    147,611/203,703.18 = 80,543/x
  3. Step 3: Cross multiply
    147,611x = 203,703.18 × 80,543
  4. Step 4: Simplify right side
    147,611x = 16,406,865,226.74
  5. Step 5: Solve for x
    x = 16,406,865,226.74/147,611
  6. Step 6: Final answer
    x = 111,149.34

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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.