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Finding the Fourth Proportional to 130,144.52, 179,618.70 and 82,402.32

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Solution

The fourth proportional to 130,144.52, 179,618.70 and 82,402.32 is: 113,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,144.52 : 179,618.70 = 82,402.32 : x
  2. Step 2: Convert to fraction form
    130,144.52/179,618.70 = 82,402.32/x
  3. Step 3: Cross multiply
    130,144.52x = 179,618.70 × 82,402.32
  4. Step 4: Simplify right side
    130,144.52x = 14,800,997,595.38
  5. Step 5: Solve for x
    x = 14,800,997,595.38/130,144.52
  6. Step 6: Final answer
    x = 113,727.40

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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.