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Finding the Fourth Proportional to 177,408.80, 265,465.20 and 130,752.80

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Solution

The fourth proportional to 177,408.80, 265,465.20 and 130,752.80 is: 195,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408.80 : 265,465.20 = 130,752.80 : x
  2. Step 2: Convert to fraction form
    177,408.80/265,465.20 = 130,752.80/x
  3. Step 3: Cross multiply
    177,408.80x = 265,465.20 × 130,752.80
  4. Step 4: Simplify right side
    177,408.80x = 34,710,318,202.56
  5. Step 5: Solve for x
    x = 34,710,318,202.56/177,408.80
  6. Step 6: Final answer
    x = 195,651.61

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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.