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Finding the Fourth Proportional to 119,341.44, 178,992.72 and 36,216

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Solution

The fourth proportional to 119,341.44, 178,992.72 and 36,216 is: 54,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,341.44 : 178,992.72 = 36,216 : x
  2. Step 2: Convert to fraction form
    119,341.44/178,992.72 = 36,216/x
  3. Step 3: Cross multiply
    119,341.44x = 178,992.72 × 36,216
  4. Step 4: Simplify right side
    119,341.44x = 6,482,400,347.52
  5. Step 5: Solve for x
    x = 6,482,400,347.52/119,341.44
  6. Step 6: Final answer
    x = 54,318.10

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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.