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Finding the Fourth Proportional to 102,740.49, 154,123.02 and 43,568.46

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Solution

The fourth proportional to 102,740.49, 154,123.02 and 43,568.46 is: 65,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,740.49 : 154,123.02 = 43,568.46 : x
  2. Step 2: Convert to fraction form
    102,740.49/154,123.02 = 43,568.46/x
  3. Step 3: Cross multiply
    102,740.49x = 154,123.02 × 43,568.46
  4. Step 4: Simplify right side
    102,740.49x = 6,714,902,631.95
  5. Step 5: Solve for x
    x = 6,714,902,631.95/102,740.49
  6. Step 6: Final answer
    x = 65,357.90

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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.