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Finding the Fourth Proportional to 177,726.63, 266,563.66 and 65,380.57

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Solution

The fourth proportional to 177,726.63, 266,563.66 and 65,380.57 is: 98,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,726.63 : 266,563.66 = 65,380.57 : x
  2. Step 2: Convert to fraction form
    177,726.63/266,563.66 = 65,380.57/x
  3. Step 3: Cross multiply
    177,726.63x = 266,563.66 × 65,380.57
  4. Step 4: Simplify right side
    177,726.63x = 17,428,083,868.63
  5. Step 5: Solve for x
    x = 17,428,083,868.63/177,726.63
  6. Step 6: Final answer
    x = 98,061.19

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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.