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Finding the Fourth Proportional to 133,686.40, 200,529.60 and 107,442.40

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Solution

The fourth proportional to 133,686.40, 200,529.60 and 107,442.40 is: 161,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.40 : 200,529.60 = 107,442.40 : x
  2. Step 2: Convert to fraction form
    133,686.40/200,529.60 = 107,442.40/x
  3. Step 3: Cross multiply
    133,686.40x = 200,529.60 × 107,442.40
  4. Step 4: Simplify right side
    133,686.40x = 21,545,381,495.04
  5. Step 5: Solve for x
    x = 21,545,381,495.04/133,686.40
  6. Step 6: Final answer
    x = 161,163.60

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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.