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Finding the Fourth Proportional to 187,704.84, 259,032.48 and 102,822.06

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Solution

The fourth proportional to 187,704.84, 259,032.48 and 102,822.06 is: 141,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704.84 : 259,032.48 = 102,822.06 : x
  2. Step 2: Convert to fraction form
    187,704.84/259,032.48 = 102,822.06/x
  3. Step 3: Cross multiply
    187,704.84x = 259,032.48 × 102,822.06
  4. Step 4: Simplify right side
    187,704.84x = 26,634,253,200.51
  5. Step 5: Solve for x
    x = 26,634,253,200.51/187,704.84
  6. Step 6: Final answer
    x = 141,894.33

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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.