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Finding the Fourth Proportional to 187,705, 259,032.90 and 102,822.40

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Solution

The fourth proportional to 187,705, 259,032.90 and 102,822.40 is: 141,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,705 : 259,032.90 = 102,822.40 : x
  2. Step 2: Convert to fraction form
    187,705/259,032.90 = 102,822.40/x
  3. Step 3: Cross multiply
    187,705x = 259,032.90 × 102,822.40
  4. Step 4: Simplify right side
    187,705x = 26,634,384,456.96
  5. Step 5: Solve for x
    x = 26,634,384,456.96/187,705
  6. Step 6: Final answer
    x = 141,894.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.