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Finding the Fourth Proportional to 177,963.21, 266,968.31 and 65,722.32

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Solution

The fourth proportional to 177,963.21, 266,968.31 and 65,722.32 is: 98,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,963.21 : 266,968.31 = 65,722.32 : x
  2. Step 2: Convert to fraction form
    177,963.21/266,968.31 = 65,722.32/x
  3. Step 3: Cross multiply
    177,963.21x = 266,968.31 × 65,722.32
  4. Step 4: Simplify right side
    177,963.21x = 17,545,776,371.07
  5. Step 5: Solve for x
    x = 17,545,776,371.07/177,963.21
  6. Step 6: Final answer
    x = 98,592.15

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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.