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Finding the Fourth Proportional to 189,399.60, 261,457.47 and 121,442.22

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Solution

The fourth proportional to 189,399.60, 261,457.47 and 121,442.22 is: 167,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,399.60 : 261,457.47 = 121,442.22 : x
  2. Step 2: Convert to fraction form
    189,399.60/261,457.47 = 121,442.22/x
  3. Step 3: Cross multiply
    189,399.60x = 261,457.47 × 121,442.22
  4. Step 4: Simplify right side
    189,399.60x = 31,751,975,592.38
  5. Step 5: Solve for x
    x = 31,751,975,592.38/189,399.60
  6. Step 6: Final answer
    x = 167,645.42

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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.