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Finding the Fourth Proportional to 177,606.40, 265,972.20 and 84,002.80

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Solution

The fourth proportional to 177,606.40, 265,972.20 and 84,002.80 is: 125,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,606.40 : 265,972.20 = 84,002.80 : x
  2. Step 2: Convert to fraction form
    177,606.40/265,972.20 = 84,002.80/x
  3. Step 3: Cross multiply
    177,606.40x = 265,972.20 × 84,002.80
  4. Step 4: Simplify right side
    177,606.40x = 22,342,409,522.16
  5. Step 5: Solve for x
    x = 22,342,409,522.16/177,606.40
  6. Step 6: Final answer
    x = 125,797.32

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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.