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Finding the Fourth Proportional to 114,755, 158,361.96 and 64,454

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Solution

The fourth proportional to 114,755, 158,361.96 and 64,454 is: 88,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,755 : 158,361.96 = 64,454 : x
  2. Step 2: Convert to fraction form
    114,755/158,361.96 = 64,454/x
  3. Step 3: Cross multiply
    114,755x = 158,361.96 × 64,454
  4. Step 4: Simplify right side
    114,755x = 10,207,061,769.84
  5. Step 5: Solve for x
    x = 10,207,061,769.84/114,755
  6. Step 6: Final answer
    x = 88,946.55

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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.