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Finding the Fourth Proportional to 218,463.42, 301,473.40 and 121,667.24

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Solution

The fourth proportional to 218,463.42, 301,473.40 and 121,667.24 is: 167,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,463.42 : 301,473.40 = 121,667.24 : x
  2. Step 2: Convert to fraction form
    218,463.42/301,473.40 = 121,667.24/x
  3. Step 3: Cross multiply
    218,463.42x = 301,473.40 × 121,667.24
  4. Step 4: Simplify right side
    218,463.42x = 36,679,436,511.42
  5. Step 5: Solve for x
    x = 36,679,436,511.42/218,463.42
  6. Step 6: Final answer
    x = 167,897.38

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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.