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Finding the Fourth Proportional to 146,411.80, 219,617.70 and 136,043.80

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Solution

The fourth proportional to 146,411.80, 219,617.70 and 136,043.80 is: 204,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,411.80 : 219,617.70 = 136,043.80 : x
  2. Step 2: Convert to fraction form
    146,411.80/219,617.70 = 136,043.80/x
  3. Step 3: Cross multiply
    146,411.80x = 219,617.70 × 136,043.80
  4. Step 4: Simplify right side
    146,411.80x = 29,877,626,455.26
  5. Step 5: Solve for x
    x = 29,877,626,455.26/146,411.80
  6. Step 6: Final answer
    x = 204,065.70

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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.