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Finding the Fourth Proportional to 102,063.63, 152,767.88 and 54,559.94

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Solution

The fourth proportional to 102,063.63, 152,767.88 and 54,559.94 is: 81,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,063.63 : 152,767.88 = 54,559.94 : x
  2. Step 2: Convert to fraction form
    102,063.63/152,767.88 = 54,559.94/x
  3. Step 3: Cross multiply
    102,063.63x = 152,767.88 × 54,559.94
  4. Step 4: Simplify right side
    102,063.63x = 8,335,005,330.09
  5. Step 5: Solve for x
    x = 8,335,005,330.09/102,063.63
  6. Step 6: Final answer
    x = 81,664.79

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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.