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Finding the Fourth Proportional to 187,880.92, 259,302.36 and 116,284

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Solution

The fourth proportional to 187,880.92, 259,302.36 and 116,284 is: 160,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,880.92 : 259,302.36 = 116,284 : x
  2. Step 2: Convert to fraction form
    187,880.92/259,302.36 = 116,284/x
  3. Step 3: Cross multiply
    187,880.92x = 259,302.36 × 116,284
  4. Step 4: Simplify right side
    187,880.92x = 30,152,715,630.24
  5. Step 5: Solve for x
    x = 30,152,715,630.24/187,880.92
  6. Step 6: Final answer
    x = 160,488.44

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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.