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Finding the Fourth Proportional to 142,122.48, 196,143.47 and 81,695.67

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Solution

The fourth proportional to 142,122.48, 196,143.47 and 81,695.67 is: 112,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122.48 : 196,143.47 = 81,695.67 : x
  2. Step 2: Convert to fraction form
    142,122.48/196,143.47 = 81,695.67/x
  3. Step 3: Cross multiply
    142,122.48x = 196,143.47 × 81,695.67
  4. Step 4: Simplify right side
    142,122.48x = 16,024,071,789.30
  5. Step 5: Solve for x
    x = 16,024,071,789.30/142,122.48
  6. Step 6: Final answer
    x = 112,748.33

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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.