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Finding the Fourth Proportional to 146,597.82, 219,917.70 and 46,759.14

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Solution

The fourth proportional to 146,597.82, 219,917.70 and 46,759.14 is: 70,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,597.82 : 219,917.70 = 46,759.14 : x
  2. Step 2: Convert to fraction form
    146,597.82/219,917.70 = 46,759.14/x
  3. Step 3: Cross multiply
    146,597.82x = 219,917.70 × 46,759.14
  4. Step 4: Simplify right side
    146,597.82x = 10,283,162,522.78
  5. Step 5: Solve for x
    x = 10,283,162,522.78/146,597.82
  6. Step 6: Final answer
    x = 70,145.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.