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Finding the Fourth Proportional to 165,377.96, 228,193.91 and 97,408.47

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Solution

The fourth proportional to 165,377.96, 228,193.91 and 97,408.47 is: 134,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,377.96 : 228,193.91 = 97,408.47 : x
  2. Step 2: Convert to fraction form
    165,377.96/228,193.91 = 97,408.47/x
  3. Step 3: Cross multiply
    165,377.96x = 228,193.91 × 97,408.47
  4. Step 4: Simplify right side
    165,377.96x = 22,228,018,495.45
  5. Step 5: Solve for x
    x = 22,228,018,495.45/165,377.96
  6. Step 6: Final answer
    x = 134,407.39

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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.