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Finding the Fourth Proportional to 515,951.36, 773,954 and 156,113.08

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Solution

The fourth proportional to 515,951.36, 773,954 and 156,113.08 is: 234,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,951.36 : 773,954 = 156,113.08 : x
  2. Step 2: Convert to fraction form
    515,951.36/773,954 = 156,113.08/x
  3. Step 3: Cross multiply
    515,951.36x = 773,954 × 156,113.08
  4. Step 4: Simplify right side
    515,951.36x = 120,824,342,718.32
  5. Step 5: Solve for x
    x = 120,824,342,718.32/515,951.36
  6. Step 6: Final answer
    x = 234,177.78

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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.