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Finding the Fourth Proportional to 225,104.40, 337,676.94 and 65,178

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Solution

The fourth proportional to 225,104.40, 337,676.94 and 65,178 is: 97,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,104.40 : 337,676.94 = 65,178 : x
  2. Step 2: Convert to fraction form
    225,104.40/337,676.94 = 65,178/x
  3. Step 3: Cross multiply
    225,104.40x = 337,676.94 × 65,178
  4. Step 4: Simplify right side
    225,104.40x = 22,009,107,595.32
  5. Step 5: Solve for x
    x = 22,009,107,595.32/225,104.40
  6. Step 6: Final answer
    x = 97,772.89

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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.