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Finding the Fourth Proportional to 146,830.88, 220,260.86 and 46,966

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Solution

The fourth proportional to 146,830.88, 220,260.86 and 46,966 is: 70,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830.88 : 220,260.86 = 46,966 : x
  2. Step 2: Convert to fraction form
    146,830.88/220,260.86 = 46,966/x
  3. Step 3: Cross multiply
    146,830.88x = 220,260.86 × 46,966
  4. Step 4: Simplify right side
    146,830.88x = 10,344,771,550.76
  5. Step 5: Solve for x
    x = 10,344,771,550.76/146,830.88
  6. Step 6: Final answer
    x = 70,453.65

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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.