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Finding the Fourth Proportional to 205,008.60, 307,512.90 and 116,435.10

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Solution

The fourth proportional to 205,008.60, 307,512.90 and 116,435.10 is: 174,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,008.60 : 307,512.90 = 116,435.10 : x
  2. Step 2: Convert to fraction form
    205,008.60/307,512.90 = 116,435.10/x
  3. Step 3: Cross multiply
    205,008.60x = 307,512.90 × 116,435.10
  4. Step 4: Simplify right side
    205,008.60x = 35,805,295,262.79
  5. Step 5: Solve for x
    x = 35,805,295,262.79/205,008.60
  6. Step 6: Final answer
    x = 174,652.65

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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.