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Finding the Fourth Proportional to 176,716.49, 243,871.16 and 96,144.98

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Solution

The fourth proportional to 176,716.49, 243,871.16 and 96,144.98 is: 132,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,716.49 : 243,871.16 = 96,144.98 : x
  2. Step 2: Convert to fraction form
    176,716.49/243,871.16 = 96,144.98/x
  3. Step 3: Cross multiply
    176,716.49x = 243,871.16 × 96,144.98
  4. Step 4: Simplify right side
    176,716.49x = 23,446,986,100.70
  5. Step 5: Solve for x
    x = 23,446,986,100.70/176,716.49
  6. Step 6: Final answer
    x = 132,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.