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Finding the Fourth Proportional to 253,684.84, 380,196.60 and 141,360.52

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Solution

The fourth proportional to 253,684.84, 380,196.60 and 141,360.52 is: 211,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684.84 : 380,196.60 = 141,360.52 : x
  2. Step 2: Convert to fraction form
    253,684.84/380,196.60 = 141,360.52/x
  3. Step 3: Cross multiply
    253,684.84x = 380,196.60 × 141,360.52
  4. Step 4: Simplify right side
    253,684.84x = 53,744,789,078.23
  5. Step 5: Solve for x
    x = 53,744,789,078.23/253,684.84
  6. Step 6: Final answer
    x = 211,856.53

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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.