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Finding the Fourth Proportional to 270,646.10, 405,969.15 and 83,657.30

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Solution

The fourth proportional to 270,646.10, 405,969.15 and 83,657.30 is: 125,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.10 : 405,969.15 = 83,657.30 : x
  2. Step 2: Convert to fraction form
    270,646.10/405,969.15 = 83,657.30/x
  3. Step 3: Cross multiply
    270,646.10x = 405,969.15 × 83,657.30
  4. Step 4: Simplify right side
    270,646.10x = 33,962,282,972.30
  5. Step 5: Solve for x
    x = 33,962,282,972.30/270,646.10
  6. Step 6: Final answer
    x = 125,485.95

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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.