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Finding the Fourth Proportional to 226,548, 312,636.60 and 125,946

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Solution

The fourth proportional to 226,548, 312,636.60 and 125,946 is: 173,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,548 : 312,636.60 = 125,946 : x
  2. Step 2: Convert to fraction form
    226,548/312,636.60 = 125,946/x
  3. Step 3: Cross multiply
    226,548x = 312,636.60 × 125,946
  4. Step 4: Simplify right side
    226,548x = 39,375,329,223.60
  5. Step 5: Solve for x
    x = 39,375,329,223.60/226,548
  6. Step 6: Final answer
    x = 173,805.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.