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Finding the Fourth Proportional to 158,644.84, 238,019.10 and 123,704.68

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Solution

The fourth proportional to 158,644.84, 238,019.10 and 123,704.68 is: 185,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,644.84 : 238,019.10 = 123,704.68 : x
  2. Step 2: Convert to fraction form
    158,644.84/238,019.10 = 123,704.68/x
  3. Step 3: Cross multiply
    158,644.84x = 238,019.10 × 123,704.68
  4. Step 4: Simplify right side
    158,644.84x = 29,444,076,599.39
  5. Step 5: Solve for x
    x = 29,444,076,599.39/158,644.84
  6. Step 6: Final answer
    x = 185,597.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.