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Finding the Fourth Proportional to 189,754.72, 261,845.76 and 104,871.76

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Solution

The fourth proportional to 189,754.72, 261,845.76 and 104,871.76 is: 144,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.72 : 261,845.76 = 104,871.76 : x
  2. Step 2: Convert to fraction form
    189,754.72/261,845.76 = 104,871.76/x
  3. Step 3: Cross multiply
    189,754.72x = 261,845.76 × 104,871.76
  4. Step 4: Simplify right side
    189,754.72x = 27,460,225,699.74
  5. Step 5: Solve for x
    x = 27,460,225,699.74/189,754.72
  6. Step 6: Final answer
    x = 144,714.32

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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.