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Finding the Fourth Proportional to 219,568.82, 303,005.17 and 118,966.82

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Solution

The fourth proportional to 219,568.82, 303,005.17 and 118,966.82 is: 164,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568.82 : 303,005.17 = 118,966.82 : x
  2. Step 2: Convert to fraction form
    219,568.82/303,005.17 = 118,966.82/x
  3. Step 3: Cross multiply
    219,568.82x = 303,005.17 × 118,966.82
  4. Step 4: Simplify right side
    219,568.82x = 36,047,561,518.46
  5. Step 5: Solve for x
    x = 36,047,561,518.46/219,568.82
  6. Step 6: Final answer
    x = 164,174.32

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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.