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Finding the Fourth Proportional to 221,667.42, 305,901 and 121,065.42

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Solution

The fourth proportional to 221,667.42, 305,901 and 121,065.42 is: 167,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,667.42 : 305,901 = 121,065.42 : x
  2. Step 2: Convert to fraction form
    221,667.42/305,901 = 121,065.42/x
  3. Step 3: Cross multiply
    221,667.42x = 305,901 × 121,065.42
  4. Step 4: Simplify right side
    221,667.42x = 37,034,033,043.42
  5. Step 5: Solve for x
    x = 37,034,033,043.42/221,667.42
  6. Step 6: Final answer
    x = 167,070.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.