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Finding the Fourth Proportional to 189,777, 261,892.26 and 114,341.16

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Solution

The fourth proportional to 189,777, 261,892.26 and 114,341.16 is: 157,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,777 : 261,892.26 = 114,341.16 : x
  2. Step 2: Convert to fraction form
    189,777/261,892.26 = 114,341.16/x
  3. Step 3: Cross multiply
    189,777x = 261,892.26 × 114,341.16
  4. Step 4: Simplify right side
    189,777x = 29,945,064,803.42
  5. Step 5: Solve for x
    x = 29,945,064,803.42/189,777
  6. Step 6: Final answer
    x = 157,790.80

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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.