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Finding the Fourth Proportional to 176,538.30, 264,920.85 and 97,709.10

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Solution

The fourth proportional to 176,538.30, 264,920.85 and 97,709.10 is: 146,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.30 : 264,920.85 = 97,709.10 : x
  2. Step 2: Convert to fraction form
    176,538.30/264,920.85 = 97,709.10/x
  3. Step 3: Cross multiply
    176,538.30x = 264,920.85 × 97,709.10
  4. Step 4: Simplify right side
    176,538.30x = 25,885,177,824.74
  5. Step 5: Solve for x
    x = 25,885,177,824.74/176,538.30
  6. Step 6: Final answer
    x = 146,626.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.