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Finding the Fourth Proportional to 205,426.60, 308,456.70 and 112,114.60

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Solution

The fourth proportional to 205,426.60, 308,456.70 and 112,114.60 is: 168,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,426.60 : 308,456.70 = 112,114.60 : x
  2. Step 2: Convert to fraction form
    205,426.60/308,456.70 = 112,114.60/x
  3. Step 3: Cross multiply
    205,426.60x = 308,456.70 × 112,114.60
  4. Step 4: Simplify right side
    205,426.60x = 34,582,499,537.82
  5. Step 5: Solve for x
    x = 34,582,499,537.82/205,426.60
  6. Step 6: Final answer
    x = 168,344.80

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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.