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Finding the Fourth Proportional to 195,881.60, 294,129.60 and 133,827.20

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Solution

The fourth proportional to 195,881.60, 294,129.60 and 133,827.20 is: 200,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,881.60 : 294,129.60 = 133,827.20 : x
  2. Step 2: Convert to fraction form
    195,881.60/294,129.60 = 133,827.20/x
  3. Step 3: Cross multiply
    195,881.60x = 294,129.60 × 133,827.20
  4. Step 4: Simplify right side
    195,881.60x = 39,362,540,805.12
  5. Step 5: Solve for x
    x = 39,362,540,805.12/195,881.60
  6. Step 6: Final answer
    x = 200,950.68

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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.