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Finding the Fourth Proportional to 121,542.30, 167,724 and 76,244.67

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Solution

The fourth proportional to 121,542.30, 167,724 and 76,244.67 is: 105,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,542.30 : 167,724 = 76,244.67 : x
  2. Step 2: Convert to fraction form
    121,542.30/167,724 = 76,244.67/x
  3. Step 3: Cross multiply
    121,542.30x = 167,724 × 76,244.67
  4. Step 4: Simplify right side
    121,542.30x = 12,788,061,031.08
  5. Step 5: Solve for x
    x = 12,788,061,031.08/121,542.30
  6. Step 6: Final answer
    x = 105,214.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.