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Finding the Fourth Proportional to 224,596.78, 310,069.68 and 155,786.46

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Solution

The fourth proportional to 224,596.78, 310,069.68 and 155,786.46 is: 215,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,596.78 : 310,069.68 = 155,786.46 : x
  2. Step 2: Convert to fraction form
    224,596.78/310,069.68 = 155,786.46/x
  3. Step 3: Cross multiply
    224,596.78x = 310,069.68 × 155,786.46
  4. Step 4: Simplify right side
    224,596.78x = 48,304,657,800.53
  5. Step 5: Solve for x
    x = 48,304,657,800.53/224,596.78
  6. Step 6: Final answer
    x = 215,072.80

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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.