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Finding the Fourth Proportional to 177,969.84, 266,978.24 and 65,728.95

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Solution

The fourth proportional to 177,969.84, 266,978.24 and 65,728.95 is: 98,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,969.84 : 266,978.24 = 65,728.95 : x
  2. Step 2: Convert to fraction form
    177,969.84/266,978.24 = 65,728.95/x
  3. Step 3: Cross multiply
    177,969.84x = 266,978.24 × 65,728.95
  4. Step 4: Simplify right side
    177,969.84x = 17,548,199,388.05
  5. Step 5: Solve for x
    x = 17,548,199,388.05/177,969.84
  6. Step 6: Final answer
    x = 98,602.10

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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.