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Finding the Fourth Proportional to 164,052.80, 245,180.16 and 119,772.80

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Solution

The fourth proportional to 164,052.80, 245,180.16 and 119,772.80 is: 179,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052.80 : 245,180.16 = 119,772.80 : x
  2. Step 2: Convert to fraction form
    164,052.80/245,180.16 = 119,772.80/x
  3. Step 3: Cross multiply
    164,052.80x = 245,180.16 × 119,772.80
  4. Step 4: Simplify right side
    164,052.80x = 29,365,914,267.65
  5. Step 5: Solve for x
    x = 29,365,914,267.65/164,052.80
  6. Step 6: Final answer
    x = 179,002.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.