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Finding the Fourth Proportional to 119,026.81, 178,541.26 and 30,280.41

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Solution

The fourth proportional to 119,026.81, 178,541.26 and 30,280.41 is: 45,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026.81 : 178,541.26 = 30,280.41 : x
  2. Step 2: Convert to fraction form
    119,026.81/178,541.26 = 30,280.41/x
  3. Step 3: Cross multiply
    119,026.81x = 178,541.26 × 30,280.41
  4. Step 4: Simplify right side
    119,026.81x = 5,406,302,479.02
  5. Step 5: Solve for x
    x = 5,406,302,479.02/119,026.81
  6. Step 6: Final answer
    x = 45,420.88

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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.