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Finding the Fourth Proportional to 187,384.32, 258,596.76 and 106,823.76

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Solution

The fourth proportional to 187,384.32, 258,596.76 and 106,823.76 is: 147,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,384.32 : 258,596.76 = 106,823.76 : x
  2. Step 2: Convert to fraction form
    187,384.32/258,596.76 = 106,823.76/x
  3. Step 3: Cross multiply
    187,384.32x = 258,596.76 × 106,823.76
  4. Step 4: Simplify right side
    187,384.32x = 27,624,278,227.02
  5. Step 5: Solve for x
    x = 27,624,278,227.02/187,384.32
  6. Step 6: Final answer
    x = 147,420.44

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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.