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Finding the Fourth Proportional to 218,492.24, 301,548.04 and 123,017.54

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Solution

The fourth proportional to 218,492.24, 301,548.04 and 123,017.54 is: 169,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,492.24 : 301,548.04 = 123,017.54 : x
  2. Step 2: Convert to fraction form
    218,492.24/301,548.04 = 123,017.54/x
  3. Step 3: Cross multiply
    218,492.24x = 301,548.04 × 123,017.54
  4. Step 4: Simplify right side
    218,492.24x = 37,095,698,072.62
  5. Step 5: Solve for x
    x = 37,095,698,072.62/218,492.24
  6. Step 6: Final answer
    x = 169,780.39

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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.