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Finding the Fourth Proportional to 156,409.56, 216,023.28 and 106,021.08

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Solution

The fourth proportional to 156,409.56, 216,023.28 and 106,021.08 is: 146,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,409.56 : 216,023.28 = 106,021.08 : x
  2. Step 2: Convert to fraction form
    156,409.56/216,023.28 = 106,021.08/x
  3. Step 3: Cross multiply
    156,409.56x = 216,023.28 × 106,021.08
  4. Step 4: Simplify right side
    156,409.56x = 22,903,021,450.74
  5. Step 5: Solve for x
    x = 22,903,021,450.74/156,409.56
  6. Step 6: Final answer
    x = 146,429.81

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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.