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Finding the Fourth Proportional to 214,969.87, 296,656.28 and 119,474.51

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Solution

The fourth proportional to 214,969.87, 296,656.28 and 119,474.51 is: 164,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.87 : 296,656.28 = 119,474.51 : x
  2. Step 2: Convert to fraction form
    214,969.87/296,656.28 = 119,474.51/x
  3. Step 3: Cross multiply
    214,969.87x = 296,656.28 × 119,474.51
  4. Step 4: Simplify right side
    214,969.87x = 35,442,863,835.69
  5. Step 5: Solve for x
    x = 35,442,863,835.69/214,969.87
  6. Step 6: Final answer
    x = 164,873.64

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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.