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Finding the Fourth Proportional to 255,063.65, 351,990.80 and 146,165.82

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Solution

The fourth proportional to 255,063.65, 351,990.80 and 146,165.82 is: 201,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,063.65 : 351,990.80 = 146,165.82 : x
  2. Step 2: Convert to fraction form
    255,063.65/351,990.80 = 146,165.82/x
  3. Step 3: Cross multiply
    255,063.65x = 351,990.80 × 146,165.82
  4. Step 4: Simplify right side
    255,063.65x = 51,449,023,183.63
  5. Step 5: Solve for x
    x = 51,449,023,183.63/255,063.65
  6. Step 6: Final answer
    x = 201,710.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.