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Finding the Fourth Proportional to 169,047.38, 233,596.24 and 121,224.98

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Solution

The fourth proportional to 169,047.38, 233,596.24 and 121,224.98 is: 167,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,047.38 : 233,596.24 = 121,224.98 : x
  2. Step 2: Convert to fraction form
    169,047.38/233,596.24 = 121,224.98/x
  3. Step 3: Cross multiply
    169,047.38x = 233,596.24 × 121,224.98
  4. Step 4: Simplify right side
    169,047.38x = 28,317,699,522.08
  5. Step 5: Solve for x
    x = 28,317,699,522.08/169,047.38
  6. Step 6: Final answer
    x = 167,513.39

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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.