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Finding the Fourth Proportional to 189,751.62, 284,036.94 and 119,483.31

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Solution

The fourth proportional to 189,751.62, 284,036.94 and 119,483.31 is: 178,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.62 : 284,036.94 = 119,483.31 : x
  2. Step 2: Convert to fraction form
    189,751.62/284,036.94 = 119,483.31/x
  3. Step 3: Cross multiply
    189,751.62x = 284,036.94 × 119,483.31
  4. Step 4: Simplify right side
    189,751.62x = 33,937,673,753.47
  5. Step 5: Solve for x
    x = 33,937,673,753.47/189,751.62
  6. Step 6: Final answer
    x = 178,853.14

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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.