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Finding the Fourth Proportional to 281,543.38, 388,530.06 and 154,219.48

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Solution

The fourth proportional to 281,543.38, 388,530.06 and 154,219.48 is: 212,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,543.38 : 388,530.06 = 154,219.48 : x
  2. Step 2: Convert to fraction form
    281,543.38/388,530.06 = 154,219.48/x
  3. Step 3: Cross multiply
    281,543.38x = 388,530.06 × 154,219.48
  4. Step 4: Simplify right side
    281,543.38x = 59,918,903,817.57
  5. Step 5: Solve for x
    x = 59,918,903,817.57/281,543.38
  6. Step 6: Final answer
    x = 212,822.99

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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.