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Finding the Fourth Proportional to 214,697.60, 321,657.60 and 183,593.60

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Solution

The fourth proportional to 214,697.60, 321,657.60 and 183,593.60 is: 275,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,697.60 : 321,657.60 = 183,593.60 : x
  2. Step 2: Convert to fraction form
    214,697.60/321,657.60 = 183,593.60/x
  3. Step 3: Cross multiply
    214,697.60x = 321,657.60 × 183,593.60
  4. Step 4: Simplify right side
    214,697.60x = 59,054,276,751.36
  5. Step 5: Solve for x
    x = 59,054,276,751.36/214,697.60
  6. Step 6: Final answer
    x = 275,057.93

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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.