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Finding the Fourth Proportional to 219,332.14, 329,119.86 and 107,013.28

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Solution

The fourth proportional to 219,332.14, 329,119.86 and 107,013.28 is: 160,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,332.14 : 329,119.86 = 107,013.28 : x
  2. Step 2: Convert to fraction form
    219,332.14/329,119.86 = 107,013.28/x
  3. Step 3: Cross multiply
    219,332.14x = 329,119.86 × 107,013.28
  4. Step 4: Simplify right side
    219,332.14x = 35,220,195,731.74
  5. Step 5: Solve for x
    x = 35,220,195,731.74/219,332.14
  6. Step 6: Final answer
    x = 160,579.27

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