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Finding the Fourth Proportional to 182,898.44, 252,409.66 and 102,321.16

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Solution

The fourth proportional to 182,898.44, 252,409.66 and 102,321.16 is: 141,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898.44 : 252,409.66 = 102,321.16 : x
  2. Step 2: Convert to fraction form
    182,898.44/252,409.66 = 102,321.16/x
  3. Step 3: Cross multiply
    182,898.44x = 252,409.66 × 102,321.16
  4. Step 4: Simplify right side
    182,898.44x = 25,826,849,206.41
  5. Step 5: Solve for x
    x = 25,826,849,206.41/182,898.44
  6. Step 6: Final answer
    x = 141,208.69

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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.