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Finding the Fourth Proportional to 243,309.47, 364,974.26 and 83,495.25

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Solution

The fourth proportional to 243,309.47, 364,974.26 and 83,495.25 is: 125,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309.47 : 364,974.26 = 83,495.25 : x
  2. Step 2: Convert to fraction form
    243,309.47/364,974.26 = 83,495.25/x
  3. Step 3: Cross multiply
    243,309.47x = 364,974.26 × 83,495.25
  4. Step 4: Simplify right side
    243,309.47x = 30,473,616,664.79
  5. Step 5: Solve for x
    x = 30,473,616,664.79/243,309.47
  6. Step 6: Final answer
    x = 125,246.33

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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.