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Finding the Fourth Proportional to 163,671.96, 225,898.34 and 102,446.56

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Solution

The fourth proportional to 163,671.96, 225,898.34 and 102,446.56 is: 141,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,671.96 : 225,898.34 = 102,446.56 : x
  2. Step 2: Convert to fraction form
    163,671.96/225,898.34 = 102,446.56/x
  3. Step 3: Cross multiply
    163,671.96x = 225,898.34 × 102,446.56
  4. Step 4: Simplify right side
    163,671.96x = 23,142,507,842.71
  5. Step 5: Solve for x
    x = 23,142,507,842.71/163,671.96
  6. Step 6: Final answer
    x = 141,395.68

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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.