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Finding the Fourth Proportional to 213,905.80, 295,097.34 and 128,975.68

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Solution

The fourth proportional to 213,905.80, 295,097.34 and 128,975.68 is: 177,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.80 : 295,097.34 = 128,975.68 : x
  2. Step 2: Convert to fraction form
    213,905.80/295,097.34 = 128,975.68/x
  3. Step 3: Cross multiply
    213,905.80x = 295,097.34 × 128,975.68
  4. Step 4: Simplify right side
    213,905.80x = 38,060,380,092.69
  5. Step 5: Solve for x
    x = 38,060,380,092.69/213,905.80
  6. Step 6: Final answer
    x = 177,930.57

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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.