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Finding the Fourth Proportional to 168,602.20, 232,400.81 and 114,137.19

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Solution

The fourth proportional to 168,602.20, 232,400.81 and 114,137.19 is: 157,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,602.20 : 232,400.81 = 114,137.19 : x
  2. Step 2: Convert to fraction form
    168,602.20/232,400.81 = 114,137.19/x
  3. Step 3: Cross multiply
    168,602.20x = 232,400.81 × 114,137.19
  4. Step 4: Simplify right side
    168,602.20x = 26,525,575,407.12
  5. Step 5: Solve for x
    x = 26,525,575,407.12/168,602.20
  6. Step 6: Final answer
    x = 157,326.39

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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.