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Finding the Fourth Proportional to 205,931.60, 309,012.60 and 87,582.80

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Solution

The fourth proportional to 205,931.60, 309,012.60 and 87,582.80 is: 131,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,931.60 : 309,012.60 = 87,582.80 : x
  2. Step 2: Convert to fraction form
    205,931.60/309,012.60 = 87,582.80/x
  3. Step 3: Cross multiply
    205,931.60x = 309,012.60 × 87,582.80
  4. Step 4: Simplify right side
    205,931.60x = 27,064,188,743.28
  5. Step 5: Solve for x
    x = 27,064,188,743.28/205,931.60
  6. Step 6: Final answer
    x = 131,423.19

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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.