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Finding the Fourth Proportional to 187,266.94, 258,428.37 and 102,384

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Solution

The fourth proportional to 187,266.94, 258,428.37 and 102,384 is: 141,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,266.94 : 258,428.37 = 102,384 : x
  2. Step 2: Convert to fraction form
    187,266.94/258,428.37 = 102,384/x
  3. Step 3: Cross multiply
    187,266.94x = 258,428.37 × 102,384
  4. Step 4: Simplify right side
    187,266.94x = 26,458,930,618.02
  5. Step 5: Solve for x
    x = 26,458,930,618.02/187,266.94
  6. Step 6: Final answer
    x = 141,289.92

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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.