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Finding the Fourth Proportional to 165,247.68, 228,041.82 and 89,796

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Solution

The fourth proportional to 165,247.68, 228,041.82 and 89,796 is: 123,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,247.68 : 228,041.82 = 89,796 : x
  2. Step 2: Convert to fraction form
    165,247.68/228,041.82 = 89,796/x
  3. Step 3: Cross multiply
    165,247.68x = 228,041.82 × 89,796
  4. Step 4: Simplify right side
    165,247.68x = 20,477,243,268.72
  5. Step 5: Solve for x
    x = 20,477,243,268.72/165,247.68
  6. Step 6: Final answer
    x = 123,918.49

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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.