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Finding the Fourth Proportional to 177,449.80, 266,174.70 and 164,619.40

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Solution

The fourth proportional to 177,449.80, 266,174.70 and 164,619.40 is: 246,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,449.80 : 266,174.70 = 164,619.40 : x
  2. Step 2: Convert to fraction form
    177,449.80/266,174.70 = 164,619.40/x
  3. Step 3: Cross multiply
    177,449.80x = 266,174.70 × 164,619.40
  4. Step 4: Simplify right side
    177,449.80x = 43,817,519,409.18
  5. Step 5: Solve for x
    x = 43,817,519,409.18/177,449.80
  6. Step 6: Final answer
    x = 246,929.10

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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.