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Finding the Fourth Proportional to 255,716.76, 352,744.62 and 160,057.38

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Solution

The fourth proportional to 255,716.76, 352,744.62 and 160,057.38 is: 220,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,716.76 : 352,744.62 = 160,057.38 : x
  2. Step 2: Convert to fraction form
    255,716.76/352,744.62 = 160,057.38/x
  3. Step 3: Cross multiply
    255,716.76x = 352,744.62 × 160,057.38
  4. Step 4: Simplify right side
    255,716.76x = 56,459,379,686.30
  5. Step 5: Solve for x
    x = 56,459,379,686.30/255,716.76
  6. Step 6: Final answer
    x = 220,788.73

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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.