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Finding the Fourth Proportional to 176,270, 243,252.60 and 96,782

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Solution

The fourth proportional to 176,270, 243,252.60 and 96,782 is: 133,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,270 : 243,252.60 = 96,782 : x
  2. Step 2: Convert to fraction form
    176,270/243,252.60 = 96,782/x
  3. Step 3: Cross multiply
    176,270x = 243,252.60 × 96,782
  4. Step 4: Simplify right side
    176,270x = 23,542,473,133.20
  5. Step 5: Solve for x
    x = 23,542,473,133.20/176,270
  6. Step 6: Final answer
    x = 133,559.16

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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.