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Finding the Fourth Proportional to 119,061.54, 178,468.11 and 40,148.64

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Solution

The fourth proportional to 119,061.54, 178,468.11 and 40,148.64 is: 60,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,061.54 : 178,468.11 = 40,148.64 : x
  2. Step 2: Convert to fraction form
    119,061.54/178,468.11 = 40,148.64/x
  3. Step 3: Cross multiply
    119,061.54x = 178,468.11 × 40,148.64
  4. Step 4: Simplify right side
    119,061.54x = 7,165,251,899.87
  5. Step 5: Solve for x
    x = 7,165,251,899.87/119,061.54
  6. Step 6: Final answer
    x = 60,181.08

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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.