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Finding the Fourth Proportional to 102,828.96, 154,267.20 and 43,666.56

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Solution

The fourth proportional to 102,828.96, 154,267.20 and 43,666.56 is: 65,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,828.96 : 154,267.20 = 43,666.56 : x
  2. Step 2: Convert to fraction form
    102,828.96/154,267.20 = 43,666.56/x
  3. Step 3: Cross multiply
    102,828.96x = 154,267.20 × 43,666.56
  4. Step 4: Simplify right side
    102,828.96x = 6,736,317,944.83
  5. Step 5: Solve for x
    x = 6,736,317,944.83/102,828.96
  6. Step 6: Final answer
    x = 65,509.93

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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.