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Finding the Fourth Proportional to 177,954.84, 266,955.74 and 65,713.95

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Solution

The fourth proportional to 177,954.84, 266,955.74 and 65,713.95 is: 98,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,954.84 : 266,955.74 = 65,713.95 : x
  2. Step 2: Convert to fraction form
    177,954.84/266,955.74 = 65,713.95/x
  3. Step 3: Cross multiply
    177,954.84x = 266,955.74 × 65,713.95
  4. Step 4: Simplify right side
    177,954.84x = 17,542,716,150.57
  5. Step 5: Solve for x
    x = 17,542,716,150.57/177,954.84
  6. Step 6: Final answer
    x = 98,579.60

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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.