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Finding the Fourth Proportional to 120,989, 181,650.36 and 83,460.08

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Solution

The fourth proportional to 120,989, 181,650.36 and 83,460.08 is: 125,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989 : 181,650.36 = 83,460.08 : x
  2. Step 2: Convert to fraction form
    120,989/181,650.36 = 83,460.08/x
  3. Step 3: Cross multiply
    120,989x = 181,650.36 × 83,460.08
  4. Step 4: Simplify right side
    120,989x = 15,160,553,577.63
  5. Step 5: Solve for x
    x = 15,160,553,577.63/120,989
  6. Step 6: Final answer
    x = 125,305.22

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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.