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Finding the Fourth Proportional to 106,306.40, 159,459.60 and 81,423.20

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Solution

The fourth proportional to 106,306.40, 159,459.60 and 81,423.20 is: 122,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306.40 : 159,459.60 = 81,423.20 : x
  2. Step 2: Convert to fraction form
    106,306.40/159,459.60 = 81,423.20/x
  3. Step 3: Cross multiply
    106,306.40x = 159,459.60 × 81,423.20
  4. Step 4: Simplify right side
    106,306.40x = 12,983,710,902.72
  5. Step 5: Solve for x
    x = 12,983,710,902.72/106,306.40
  6. Step 6: Final answer
    x = 122,134.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.