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Finding the Fourth Proportional to 102,740.34, 154,049.01 and 42,696.42

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Solution

The fourth proportional to 102,740.34, 154,049.01 and 42,696.42 is: 64,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,740.34 : 154,049.01 = 42,696.42 : x
  2. Step 2: Convert to fraction form
    102,740.34/154,049.01 = 42,696.42/x
  3. Step 3: Cross multiply
    102,740.34x = 154,049.01 × 42,696.42
  4. Step 4: Simplify right side
    102,740.34x = 6,577,341,231.54
  5. Step 5: Solve for x
    x = 6,577,341,231.54/102,740.34
  6. Step 6: Final answer
    x = 64,019.07

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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.