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Finding the Fourth Proportional to 176,462, 243,517.56 and 96,974

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Solution

The fourth proportional to 176,462, 243,517.56 and 96,974 is: 133,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,462 : 243,517.56 = 96,974 : x
  2. Step 2: Convert to fraction form
    176,462/243,517.56 = 96,974/x
  3. Step 3: Cross multiply
    176,462x = 243,517.56 × 96,974
  4. Step 4: Simplify right side
    176,462x = 23,614,871,863.44
  5. Step 5: Solve for x
    x = 23,614,871,863.44/176,462
  6. Step 6: Final answer
    x = 133,824.12

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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.