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Finding the Fourth Proportional to 308,857.12, 463,290.56 and 121,867

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Solution

The fourth proportional to 308,857.12, 463,290.56 and 121,867 is: 182,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,857.12 : 463,290.56 = 121,867 : x
  2. Step 2: Convert to fraction form
    308,857.12/463,290.56 = 121,867/x
  3. Step 3: Cross multiply
    308,857.12x = 463,290.56 × 121,867
  4. Step 4: Simplify right side
    308,857.12x = 56,459,830,675.52
  5. Step 5: Solve for x
    x = 56,459,830,675.52/308,857.12
  6. Step 6: Final answer
    x = 182,802.43

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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.