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Finding the Fourth Proportional to 285,470.14, 428,205.21 and 119,141.50

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Solution

The fourth proportional to 285,470.14, 428,205.21 and 119,141.50 is: 178,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,470.14 : 428,205.21 = 119,141.50 : x
  2. Step 2: Convert to fraction form
    285,470.14/428,205.21 = 119,141.50/x
  3. Step 3: Cross multiply
    285,470.14x = 428,205.21 × 119,141.50
  4. Step 4: Simplify right side
    285,470.14x = 51,017,011,027.22
  5. Step 5: Solve for x
    x = 51,017,011,027.22/285,470.14
  6. Step 6: Final answer
    x = 178,712.25

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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.