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Finding the Fourth Proportional to 402,165.62, 603,322.58 and 132,308.94

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Solution

The fourth proportional to 402,165.62, 603,322.58 and 132,308.94 is: 198,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,165.62 : 603,322.58 = 132,308.94 : x
  2. Step 2: Convert to fraction form
    402,165.62/603,322.58 = 132,308.94/x
  3. Step 3: Cross multiply
    402,165.62x = 603,322.58 × 132,308.94
  4. Step 4: Simplify right side
    402,165.62x = 79,824,971,368.64
  5. Step 5: Solve for x
    x = 79,824,971,368.64/402,165.62
  6. Step 6: Final answer
    x = 198,487.81

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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.