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Finding the Fourth Proportional to 114,506.32, 171,676.44 and 76,973.29

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Solution

The fourth proportional to 114,506.32, 171,676.44 and 76,973.29 is: 115,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,506.32 : 171,676.44 = 76,973.29 : x
  2. Step 2: Convert to fraction form
    114,506.32/171,676.44 = 76,973.29/x
  3. Step 3: Cross multiply
    114,506.32x = 171,676.44 × 76,973.29
  4. Step 4: Simplify right side
    114,506.32x = 13,214,500,402.29
  5. Step 5: Solve for x
    x = 13,214,500,402.29/114,506.32
  6. Step 6: Final answer
    x = 115,404.11

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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.