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Finding the Fourth Proportional to 156,134.25, 215,465.09 and 84,514.12

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Solution

The fourth proportional to 156,134.25, 215,465.09 and 84,514.12 is: 116,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,134.25 : 215,465.09 = 84,514.12 : x
  2. Step 2: Convert to fraction form
    156,134.25/215,465.09 = 84,514.12/x
  3. Step 3: Cross multiply
    156,134.25x = 215,465.09 × 84,514.12
  4. Step 4: Simplify right side
    156,134.25x = 18,209,841,510.84
  5. Step 5: Solve for x
    x = 18,209,841,510.84/156,134.25
  6. Step 6: Final answer
    x = 116,629.38

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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.