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Finding the Fourth Proportional to 146,401.40, 219,116.10 and 106,306.40

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Solution

The fourth proportional to 146,401.40, 219,116.10 and 106,306.40 is: 159,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,401.40 : 219,116.10 = 106,306.40 : x
  2. Step 2: Convert to fraction form
    146,401.40/219,116.10 = 106,306.40/x
  3. Step 3: Cross multiply
    146,401.40x = 219,116.10 × 106,306.40
  4. Step 4: Simplify right side
    146,401.40x = 23,293,443,773.04
  5. Step 5: Solve for x
    x = 23,293,443,773.04/146,401.40
  6. Step 6: Final answer
    x = 159,106.70

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