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Finding the Fourth Proportional to 133,090.38, 199,645.32 and 38,316.72

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Solution

The fourth proportional to 133,090.38, 199,645.32 and 38,316.72 is: 57,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090.38 : 199,645.32 = 38,316.72 : x
  2. Step 2: Convert to fraction form
    133,090.38/199,645.32 = 38,316.72/x
  3. Step 3: Cross multiply
    133,090.38x = 199,645.32 × 38,316.72
  4. Step 4: Simplify right side
    133,090.38x = 7,649,753,825.75
  5. Step 5: Solve for x
    x = 7,649,753,825.75/133,090.38
  6. Step 6: Final answer
    x = 57,477.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.