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Finding the Fourth Proportional to 235,723.14, 325,306.26 and 133,749

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Solution

The fourth proportional to 235,723.14, 325,306.26 and 133,749 is: 184,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,723.14 : 325,306.26 = 133,749 : x
  2. Step 2: Convert to fraction form
    235,723.14/325,306.26 = 133,749/x
  3. Step 3: Cross multiply
    235,723.14x = 325,306.26 × 133,749
  4. Step 4: Simplify right side
    235,723.14x = 43,509,386,968.74
  5. Step 5: Solve for x
    x = 43,509,386,968.74/235,723.14
  6. Step 6: Final answer
    x = 184,578.34

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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.