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Finding the Fourth Proportional to 107,156.20, 147,704.78 and 84,460

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Solution

The fourth proportional to 107,156.20, 147,704.78 and 84,460 is: 116,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156.20 : 147,704.78 = 84,460 : x
  2. Step 2: Convert to fraction form
    107,156.20/147,704.78 = 84,460/x
  3. Step 3: Cross multiply
    107,156.20x = 147,704.78 × 84,460
  4. Step 4: Simplify right side
    107,156.20x = 12,475,145,718.80
  5. Step 5: Solve for x
    x = 12,475,145,718.80/107,156.20
  6. Step 6: Final answer
    x = 116,420.20

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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.