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Finding the Fourth Proportional to 223,930.98, 309,010.71 and 123,328.98

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Solution

The fourth proportional to 223,930.98, 309,010.71 and 123,328.98 is: 170,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,930.98 : 309,010.71 = 123,328.98 : x
  2. Step 2: Convert to fraction form
    223,930.98/309,010.71 = 123,328.98/x
  3. Step 3: Cross multiply
    223,930.98x = 309,010.71 × 123,328.98
  4. Step 4: Simplify right side
    223,930.98x = 38,109,975,673.38
  5. Step 5: Solve for x
    x = 38,109,975,673.38/223,930.98
  6. Step 6: Final answer
    x = 170,186.26

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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.