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Finding the Fourth Proportional to 482,196.64, 723,212.88 and 127,214.08

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Solution

The fourth proportional to 482,196.64, 723,212.88 and 127,214.08 is: 190,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,196.64 : 723,212.88 = 127,214.08 : x
  2. Step 2: Convert to fraction form
    482,196.64/723,212.88 = 127,214.08/x
  3. Step 3: Cross multiply
    482,196.64x = 723,212.88 × 127,214.08
  4. Step 4: Simplify right side
    482,196.64x = 92,002,861,173.35
  5. Step 5: Solve for x
    x = 92,002,861,173.35/482,196.64
  6. Step 6: Final answer
    x = 190,799.47

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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.