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Finding the Fourth Proportional to 219,102.96, 328,673.27 and 76,936.02

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Solution

The fourth proportional to 219,102.96, 328,673.27 and 76,936.02 is: 115,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,102.96 : 328,673.27 = 76,936.02 : x
  2. Step 2: Convert to fraction form
    219,102.96/328,673.27 = 76,936.02/x
  3. Step 3: Cross multiply
    219,102.96x = 328,673.27 × 76,936.02
  4. Step 4: Simplify right side
    219,102.96x = 25,286,812,889.51
  5. Step 5: Solve for x
    x = 25,286,812,889.51/219,102.96
  6. Step 6: Final answer
    x = 115,410.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.