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Finding the Fourth Proportional to 177,957.40, 266,936.10 and 174,458.20

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Solution

The fourth proportional to 177,957.40, 266,936.10 and 174,458.20 is: 261,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,957.40 : 266,936.10 = 174,458.20 : x
  2. Step 2: Convert to fraction form
    177,957.40/266,936.10 = 174,458.20/x
  3. Step 3: Cross multiply
    177,957.40x = 266,936.10 × 174,458.20
  4. Step 4: Simplify right side
    177,957.40x = 46,569,191,521.02
  5. Step 5: Solve for x
    x = 46,569,191,521.02/177,957.40
  6. Step 6: Final answer
    x = 261,687.30

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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.