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Finding the Fourth Proportional to 121,569.14, 182,674.43 and 65,450.74

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Solution

The fourth proportional to 121,569.14, 182,674.43 and 65,450.74 is: 98,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569.14 : 182,674.43 = 65,450.74 : x
  2. Step 2: Convert to fraction form
    121,569.14/182,674.43 = 65,450.74/x
  3. Step 3: Cross multiply
    121,569.14x = 182,674.43 × 65,450.74
  4. Step 4: Simplify right side
    121,569.14x = 11,956,176,622.58
  5. Step 5: Solve for x
    x = 11,956,176,622.58/121,569.14
  6. Step 6: Final answer
    x = 98,348.78

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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.