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Finding the Fourth Proportional to 214,405.56, 295,897.83 and 118,943

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Solution

The fourth proportional to 214,405.56, 295,897.83 and 118,943 is: 164,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,405.56 : 295,897.83 = 118,943 : x
  2. Step 2: Convert to fraction form
    214,405.56/295,897.83 = 118,943/x
  3. Step 3: Cross multiply
    214,405.56x = 295,897.83 × 118,943
  4. Step 4: Simplify right side
    214,405.56x = 35,194,975,593.69
  5. Step 5: Solve for x
    x = 35,194,975,593.69/214,405.56
  6. Step 6: Final answer
    x = 164,151.41

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