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Finding the Fourth Proportional to 224,780.82, 310,185.09 and 129,289.12

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Solution

The fourth proportional to 224,780.82, 310,185.09 and 129,289.12 is: 178,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,780.82 : 310,185.09 = 129,289.12 : x
  2. Step 2: Convert to fraction form
    224,780.82/310,185.09 = 129,289.12/x
  3. Step 3: Cross multiply
    224,780.82x = 310,185.09 × 129,289.12
  4. Step 4: Simplify right side
    224,780.82x = 40,103,557,323.22
  5. Step 5: Solve for x
    x = 40,103,557,323.22/224,780.82
  6. Step 6: Final answer
    x = 178,411.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.