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Finding the Fourth Proportional to 176,573, 243,670.78 and 97,085

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Solution

The fourth proportional to 176,573, 243,670.78 and 97,085 is: 133,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,573 : 243,670.78 = 97,085 : x
  2. Step 2: Convert to fraction form
    176,573/243,670.78 = 97,085/x
  3. Step 3: Cross multiply
    176,573x = 243,670.78 × 97,085
  4. Step 4: Simplify right side
    176,573x = 23,656,777,676.30
  5. Step 5: Solve for x
    x = 23,656,777,676.30/176,573
  6. Step 6: Final answer
    x = 133,977.32

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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.