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Finding the Fourth Proportional to 119,311.52, 178,967.27 and 49,189.01

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Solution

The fourth proportional to 119,311.52, 178,967.27 and 49,189.01 is: 73,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.52 : 178,967.27 = 49,189.01 : x
  2. Step 2: Convert to fraction form
    119,311.52/178,967.27 = 49,189.01/x
  3. Step 3: Cross multiply
    119,311.52x = 178,967.27 × 49,189.01
  4. Step 4: Simplify right side
    119,311.52x = 8,803,222,061.84
  5. Step 5: Solve for x
    x = 8,803,222,061.84/119,311.52
  6. Step 6: Final answer
    x = 73,783.51

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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.