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Finding the Fourth Proportional to 189,538.76, 261,560.06 and 104,654

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Solution

The fourth proportional to 189,538.76, 261,560.06 and 104,654 is: 144,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,538.76 : 261,560.06 = 104,654 : x
  2. Step 2: Convert to fraction form
    189,538.76/261,560.06 = 104,654/x
  3. Step 3: Cross multiply
    189,538.76x = 261,560.06 × 104,654
  4. Step 4: Simplify right side
    189,538.76x = 27,373,306,519.24
  5. Step 5: Solve for x
    x = 27,373,306,519.24/189,538.76
  6. Step 6: Final answer
    x = 144,420.63

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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.