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Finding the Fourth Proportional to 106,823.45, 147,411.90 and 58,424.60

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Solution

The fourth proportional to 106,823.45, 147,411.90 and 58,424.60 is: 80,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,823.45 : 147,411.90 = 58,424.60 : x
  2. Step 2: Convert to fraction form
    106,823.45/147,411.90 = 58,424.60/x
  3. Step 3: Cross multiply
    106,823.45x = 147,411.90 × 58,424.60
  4. Step 4: Simplify right side
    106,823.45x = 8,612,481,292.74
  5. Step 5: Solve for x
    x = 8,612,481,292.74/106,823.45
  6. Step 6: Final answer
    x = 80,623.51

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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.