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Finding the Fourth Proportional to 187,876.92, 259,296.84 and 116,280

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Solution

The fourth proportional to 187,876.92, 259,296.84 and 116,280 is: 160,482.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,876.92 : 259,296.84 = 116,280 : x
  2. Step 2: Convert to fraction form
    187,876.92/259,296.84 = 116,280/x
  3. Step 3: Cross multiply
    187,876.92x = 259,296.84 × 116,280
  4. Step 4: Simplify right side
    187,876.92x = 30,151,036,555.20
  5. Step 5: Solve for x
    x = 30,151,036,555.20/187,876.92
  6. Step 6: Final answer
    x = 160,482.92

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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.