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Finding the Fourth Proportional to 205,276.60, 307,914.90 and 121,295.80

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Solution

The fourth proportional to 205,276.60, 307,914.90 and 121,295.80 is: 181,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,276.60 : 307,914.90 = 121,295.80 : x
  2. Step 2: Convert to fraction form
    205,276.60/307,914.90 = 121,295.80/x
  3. Step 3: Cross multiply
    205,276.60x = 307,914.90 × 121,295.80
  4. Step 4: Simplify right side
    205,276.60x = 37,348,784,127.42
  5. Step 5: Solve for x
    x = 37,348,784,127.42/205,276.60
  6. Step 6: Final answer
    x = 181,943.70

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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.