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Finding the Fourth Proportional to 177,466.30, 266,199.45 and 164,635.90

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Solution

The fourth proportional to 177,466.30, 266,199.45 and 164,635.90 is: 246,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466.30 : 266,199.45 = 164,635.90 : x
  2. Step 2: Convert to fraction form
    177,466.30/266,199.45 = 164,635.90/x
  3. Step 3: Cross multiply
    177,466.30x = 266,199.45 × 164,635.90
  4. Step 4: Simplify right side
    177,466.30x = 43,825,986,030.26
  5. Step 5: Solve for x
    x = 43,825,986,030.26/177,466.30
  6. Step 6: Final answer
    x = 246,953.85

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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.