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Finding the Fourth Proportional to 114,914.60, 172,512.30 and 65,029.40

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Solution

The fourth proportional to 114,914.60, 172,512.30 and 65,029.40 is: 97,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,914.60 : 172,512.30 = 65,029.40 : x
  2. Step 2: Convert to fraction form
    114,914.60/172,512.30 = 65,029.40/x
  3. Step 3: Cross multiply
    114,914.60x = 172,512.30 × 65,029.40
  4. Step 4: Simplify right side
    114,914.60x = 11,218,371,361.62
  5. Step 5: Solve for x
    x = 11,218,371,361.62/114,914.60
  6. Step 6: Final answer
    x = 97,623.55

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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.