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Finding the Fourth Proportional to 146,591.80, 219,923.70 and 41,409.40

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Solution

The fourth proportional to 146,591.80, 219,923.70 and 41,409.40 is: 62,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,591.80 : 219,923.70 = 41,409.40 : x
  2. Step 2: Convert to fraction form
    146,591.80/219,923.70 = 41,409.40/x
  3. Step 3: Cross multiply
    146,591.80x = 219,923.70 × 41,409.40
  4. Step 4: Simplify right side
    146,591.80x = 9,106,908,462.78
  5. Step 5: Solve for x
    x = 9,106,908,462.78/146,591.80
  6. Step 6: Final answer
    x = 62,124.27

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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.