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Finding the Fourth Proportional to 126,996.64, 175,256.64 and 70,408.96

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Solution

The fourth proportional to 126,996.64, 175,256.64 and 70,408.96 is: 97,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,996.64 : 175,256.64 = 70,408.96 : x
  2. Step 2: Convert to fraction form
    126,996.64/175,256.64 = 70,408.96/x
  3. Step 3: Cross multiply
    126,996.64x = 175,256.64 × 70,408.96
  4. Step 4: Simplify right side
    126,996.64x = 12,339,637,755.49
  5. Step 5: Solve for x
    x = 12,339,637,755.49/126,996.64
  6. Step 6: Final answer
    x = 97,165.07

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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.