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Finding the Fourth Proportional to 187,797.76, 259,162.95 and 102,913

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Solution

The fourth proportional to 187,797.76, 259,162.95 and 102,913 is: 142,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,797.76 : 259,162.95 = 102,913 : x
  2. Step 2: Convert to fraction form
    187,797.76/259,162.95 = 102,913/x
  3. Step 3: Cross multiply
    187,797.76x = 259,162.95 × 102,913
  4. Step 4: Simplify right side
    187,797.76x = 26,671,236,673.35
  5. Step 5: Solve for x
    x = 26,671,236,673.35/187,797.76
  6. Step 6: Final answer
    x = 142,021.06

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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.