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Finding the Fourth Proportional to 235,400.94, 324,856.56 and 127,971

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Solution

The fourth proportional to 235,400.94, 324,856.56 and 127,971 is: 176,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,400.94 : 324,856.56 = 127,971 : x
  2. Step 2: Convert to fraction form
    235,400.94/324,856.56 = 127,971/x
  3. Step 3: Cross multiply
    235,400.94x = 324,856.56 × 127,971
  4. Step 4: Simplify right side
    235,400.94x = 41,572,218,839.76
  5. Step 5: Solve for x
    x = 41,572,218,839.76/235,400.94
  6. Step 6: Final answer
    x = 176,601.75

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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.