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Finding the Fourth Proportional to 268,874.80, 403,312.20 and 81,886.30

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Solution

The fourth proportional to 268,874.80, 403,312.20 and 81,886.30 is: 122,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,874.80 : 403,312.20 = 81,886.30 : x
  2. Step 2: Convert to fraction form
    268,874.80/403,312.20 = 81,886.30/x
  3. Step 3: Cross multiply
    268,874.80x = 403,312.20 × 81,886.30
  4. Step 4: Simplify right side
    268,874.80x = 33,025,743,802.86
  5. Step 5: Solve for x
    x = 33,025,743,802.86/268,874.80
  6. Step 6: Final answer
    x = 122,829.45

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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.