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Finding the Fourth Proportional to 165,495, 228,387.96 and 90,048.36

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Solution

The fourth proportional to 165,495, 228,387.96 and 90,048.36 is: 124,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,495 : 228,387.96 = 90,048.36 : x
  2. Step 2: Convert to fraction form
    165,495/228,387.96 = 90,048.36/x
  3. Step 3: Cross multiply
    165,495x = 228,387.96 × 90,048.36
  4. Step 4: Simplify right side
    165,495x = 20,565,961,241.75
  5. Step 5: Solve for x
    x = 20,565,961,241.75/165,495
  6. Step 6: Final answer
    x = 124,269.38

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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.