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Finding the Fourth Proportional to 214,528.44, 296,035.02 and 119,029.08

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Solution

The fourth proportional to 214,528.44, 296,035.02 and 119,029.08 is: 164,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,528.44 : 296,035.02 = 119,029.08 : x
  2. Step 2: Convert to fraction form
    214,528.44/296,035.02 = 119,029.08/x
  3. Step 3: Cross multiply
    214,528.44x = 296,035.02 × 119,029.08
  4. Step 4: Simplify right side
    214,528.44x = 35,236,776,078.38
  5. Step 5: Solve for x
    x = 35,236,776,078.38/214,528.44
  6. Step 6: Final answer
    x = 164,252.24

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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.