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Finding the Fourth Proportional to 176,571, 243,668.02 and 97,083

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Solution

The fourth proportional to 176,571, 243,668.02 and 97,083 is: 133,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,571 : 243,668.02 = 97,083 : x
  2. Step 2: Convert to fraction form
    176,571/243,668.02 = 97,083/x
  3. Step 3: Cross multiply
    176,571x = 243,668.02 × 97,083
  4. Step 4: Simplify right side
    176,571x = 23,656,022,385.66
  5. Step 5: Solve for x
    x = 23,656,022,385.66/176,571
  6. Step 6: Final answer
    x = 133,974.56

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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.