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Finding the Fourth Proportional to 187,877.92, 259,298.22 and 116,281

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Solution

The fourth proportional to 187,877.92, 259,298.22 and 116,281 is: 160,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,877.92 : 259,298.22 = 116,281 : x
  2. Step 2: Convert to fraction form
    187,877.92/259,298.22 = 116,281/x
  3. Step 3: Cross multiply
    187,877.92x = 259,298.22 × 116,281
  4. Step 4: Simplify right side
    187,877.92x = 30,151,456,319.82
  5. Step 5: Solve for x
    x = 30,151,456,319.82/187,877.92
  6. Step 6: Final answer
    x = 160,484.30

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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.