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Finding the Fourth Proportional to 268,388.40, 402,582.60 and 81,409.20

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Solution

The fourth proportional to 268,388.40, 402,582.60 and 81,409.20 is: 122,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,388.40 : 402,582.60 = 81,409.20 : x
  2. Step 2: Convert to fraction form
    268,388.40/402,582.60 = 81,409.20/x
  3. Step 3: Cross multiply
    268,388.40x = 402,582.60 × 81,409.20
  4. Step 4: Simplify right side
    268,388.40x = 32,773,927,399.92
  5. Step 5: Solve for x
    x = 32,773,927,399.92/268,388.40
  6. Step 6: Final answer
    x = 122,113.80

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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.