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Finding the Fourth Proportional to 189,892, 284,900.34 and 77,666.56

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Solution

The fourth proportional to 189,892, 284,900.34 and 77,666.56 is: 116,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,892 : 284,900.34 = 77,666.56 : x
  2. Step 2: Convert to fraction form
    189,892/284,900.34 = 77,666.56/x
  3. Step 3: Cross multiply
    189,892x = 284,900.34 × 77,666.56
  4. Step 4: Simplify right side
    189,892x = 22,127,229,350.63
  5. Step 5: Solve for x
    x = 22,127,229,350.63/189,892
  6. Step 6: Final answer
    x = 116,525.34

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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.