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Finding the Fourth Proportional to 177,465.80, 266,252.06 and 106,466.60

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Solution

The fourth proportional to 177,465.80, 266,252.06 and 106,466.60 is: 159,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,465.80 : 266,252.06 = 106,466.60 : x
  2. Step 2: Convert to fraction form
    177,465.80/266,252.06 = 106,466.60/x
  3. Step 3: Cross multiply
    177,465.80x = 266,252.06 × 106,466.60
  4. Step 4: Simplify right side
    177,465.80x = 28,346,951,571.20
  5. Step 5: Solve for x
    x = 28,346,951,571.20/177,465.80
  6. Step 6: Final answer
    x = 159,731.91

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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.