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Finding the Fourth Proportional to 187,693.29, 259,016.85 and 102,811.77

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Solution

The fourth proportional to 187,693.29, 259,016.85 and 102,811.77 is: 141,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,693.29 : 259,016.85 = 102,811.77 : x
  2. Step 2: Convert to fraction form
    187,693.29/259,016.85 = 102,811.77/x
  3. Step 3: Cross multiply
    187,693.29x = 259,016.85 × 102,811.77
  4. Step 4: Simplify right side
    187,693.29x = 26,629,980,808.32
  5. Step 5: Solve for x
    x = 26,629,980,808.32/187,693.29
  6. Step 6: Final answer
    x = 141,880.30

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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.