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Finding the Fourth Proportional to 133,986, 184,901.40 and 83,714.16

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Solution

The fourth proportional to 133,986, 184,901.40 and 83,714.16 is: 115,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 184,901.40 = 83,714.16 : x
  2. Step 2: Convert to fraction form
    133,986/184,901.40 = 83,714.16/x
  3. Step 3: Cross multiply
    133,986x = 184,901.40 × 83,714.16
  4. Step 4: Simplify right side
    133,986x = 15,478,865,383.82
  5. Step 5: Solve for x
    x = 15,478,865,383.82/133,986
  6. Step 6: Final answer
    x = 115,525.99

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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.