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Finding the Fourth Proportional to 119,189.48, 178,784 and 30,443.04

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Solution

The fourth proportional to 119,189.48, 178,784 and 30,443.04 is: 45,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,189.48 : 178,784 = 30,443.04 : x
  2. Step 2: Convert to fraction form
    119,189.48/178,784 = 30,443.04/x
  3. Step 3: Cross multiply
    119,189.48x = 178,784 × 30,443.04
  4. Step 4: Simplify right side
    119,189.48x = 5,442,728,463.36
  5. Step 5: Solve for x
    x = 5,442,728,463.36/119,189.48
  6. Step 6: Final answer
    x = 45,664.50

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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.