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Finding the Fourth Proportional to 223,607.84, 308,583.60 and 123,005.84

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Solution

The fourth proportional to 223,607.84, 308,583.60 and 123,005.84 is: 169,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,607.84 : 308,583.60 = 123,005.84 : x
  2. Step 2: Convert to fraction form
    223,607.84/308,583.60 = 123,005.84/x
  3. Step 3: Cross multiply
    223,607.84x = 308,583.60 × 123,005.84
  4. Step 4: Simplify right side
    223,607.84x = 37,957,584,928.22
  5. Step 5: Solve for x
    x = 37,957,584,928.22/223,607.84
  6. Step 6: Final answer
    x = 169,750.69

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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.