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Finding the Fourth Proportional to 114,457, 171,714.66 and 43,408.66

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Solution

The fourth proportional to 114,457, 171,714.66 and 43,408.66 is: 65,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,457 : 171,714.66 = 43,408.66 : x
  2. Step 2: Convert to fraction form
    114,457/171,714.66 = 43,408.66/x
  3. Step 3: Cross multiply
    114,457x = 171,714.66 × 43,408.66
  4. Step 4: Simplify right side
    114,457x = 7,453,903,292.96
  5. Step 5: Solve for x
    x = 7,453,903,292.96/114,457
  6. Step 6: Final answer
    x = 65,124.05

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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.