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Finding the Fourth Proportional to 265,924.62, 399,035.97 and 141,262.38

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Solution

The fourth proportional to 265,924.62, 399,035.97 and 141,262.38 is: 211,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,924.62 : 399,035.97 = 141,262.38 : x
  2. Step 2: Convert to fraction form
    265,924.62/399,035.97 = 141,262.38/x
  3. Step 3: Cross multiply
    265,924.62x = 399,035.97 × 141,262.38
  4. Step 4: Simplify right side
    265,924.62x = 56,368,770,827.81
  5. Step 5: Solve for x
    x = 56,368,770,827.81/265,924.62
  6. Step 6: Final answer
    x = 211,972.74

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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.