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Finding the Fourth Proportional to 213,152.40, 319,874.40 and 118,382.40

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Solution

The fourth proportional to 213,152.40, 319,874.40 and 118,382.40 is: 177,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,152.40 : 319,874.40 = 118,382.40 : x
  2. Step 2: Convert to fraction form
    213,152.40/319,874.40 = 118,382.40/x
  3. Step 3: Cross multiply
    213,152.40x = 319,874.40 × 118,382.40
  4. Step 4: Simplify right side
    213,152.40x = 37,867,499,170.56
  5. Step 5: Solve for x
    x = 37,867,499,170.56/213,152.40
  6. Step 6: Final answer
    x = 177,654.58

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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.