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Finding the Fourth Proportional to 187,872.92, 259,291.32 and 116,276

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Solution

The fourth proportional to 187,872.92, 259,291.32 and 116,276 is: 160,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,872.92 : 259,291.32 = 116,276 : x
  2. Step 2: Convert to fraction form
    187,872.92/259,291.32 = 116,276/x
  3. Step 3: Cross multiply
    187,872.92x = 259,291.32 × 116,276
  4. Step 4: Simplify right side
    187,872.92x = 30,149,357,524.32
  5. Step 5: Solve for x
    x = 30,149,357,524.32/187,872.92
  6. Step 6: Final answer
    x = 160,477.40

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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.