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Finding the Fourth Proportional to 187,396.95, 258,605.67 and 102,513

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Solution

The fourth proportional to 187,396.95, 258,605.67 and 102,513 is: 141,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,396.95 : 258,605.67 = 102,513 : x
  2. Step 2: Convert to fraction form
    187,396.95/258,605.67 = 102,513/x
  3. Step 3: Cross multiply
    187,396.95x = 258,605.67 × 102,513
  4. Step 4: Simplify right side
    187,396.95x = 26,510,443,048.71
  5. Step 5: Solve for x
    x = 26,510,443,048.71/187,396.95
  6. Step 6: Final answer
    x = 141,466.78

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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.