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Finding the Fourth Proportional to 140,649.48, 194,109.48 and 84,059.64

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Solution

The fourth proportional to 140,649.48, 194,109.48 and 84,059.64 is: 116,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,649.48 : 194,109.48 = 84,059.64 : x
  2. Step 2: Convert to fraction form
    140,649.48/194,109.48 = 84,059.64/x
  3. Step 3: Cross multiply
    140,649.48x = 194,109.48 × 84,059.64
  4. Step 4: Simplify right side
    140,649.48x = 16,316,773,009.39
  5. Step 5: Solve for x
    x = 16,316,773,009.39/140,649.48
  6. Step 6: Final answer
    x = 116,010.19

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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.