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Finding the Fourth Proportional to 119,026.56, 178,540.89 and 30,280.16

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Solution

The fourth proportional to 119,026.56, 178,540.89 and 30,280.16 is: 45,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026.56 : 178,540.89 = 30,280.16 : x
  2. Step 2: Convert to fraction form
    119,026.56/178,540.89 = 30,280.16/x
  3. Step 3: Cross multiply
    119,026.56x = 178,540.89 × 30,280.16
  4. Step 4: Simplify right side
    119,026.56x = 5,406,245,671.64
  5. Step 5: Solve for x
    x = 5,406,245,671.64/119,026.56
  6. Step 6: Final answer
    x = 45,420.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.