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Finding the Fourth Proportional to 262,838.82, 362,717.36 and 141,980.07

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Solution

The fourth proportional to 262,838.82, 362,717.36 and 141,980.07 is: 195,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,838.82 : 362,717.36 = 141,980.07 : x
  2. Step 2: Convert to fraction form
    262,838.82/362,717.36 = 141,980.07/x
  3. Step 3: Cross multiply
    262,838.82x = 362,717.36 × 141,980.07
  4. Step 4: Simplify right side
    262,838.82x = 51,498,637,345.73
  5. Step 5: Solve for x
    x = 51,498,637,345.73/262,838.82
  6. Step 6: Final answer
    x = 195,932.38

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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.