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Finding the Fourth Proportional to 322,151.40, 483,381.54 and 132,749.64

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Solution

The fourth proportional to 322,151.40, 483,381.54 and 132,749.64 is: 199,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,151.40 : 483,381.54 = 132,749.64 : x
  2. Step 2: Convert to fraction form
    322,151.40/483,381.54 = 132,749.64/x
  3. Step 3: Cross multiply
    322,151.40x = 483,381.54 × 132,749.64
  4. Step 4: Simplify right side
    322,151.40x = 64,168,725,417.65
  5. Step 5: Solve for x
    x = 64,168,725,417.65/322,151.40
  6. Step 6: Final answer
    x = 199,188.10

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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.