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Finding the Fourth Proportional to 205,434.60, 308,468.70 and 112,122.60

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Solution

The fourth proportional to 205,434.60, 308,468.70 and 112,122.60 is: 168,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.60 : 308,468.70 = 112,122.60 : x
  2. Step 2: Convert to fraction form
    205,434.60/308,468.70 = 112,122.60/x
  3. Step 3: Cross multiply
    205,434.60x = 308,468.70 × 112,122.60
  4. Step 4: Simplify right side
    205,434.60x = 34,586,312,662.62
  5. Step 5: Solve for x
    x = 34,586,312,662.62/205,434.60
  6. Step 6: Final answer
    x = 168,356.80

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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.