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Finding the Fourth Proportional to 142,483.99, 196,633.70 and 78,820.69

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Solution

The fourth proportional to 142,483.99, 196,633.70 and 78,820.69 is: 108,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,483.99 : 196,633.70 = 78,820.69 : x
  2. Step 2: Convert to fraction form
    142,483.99/196,633.70 = 78,820.69/x
  3. Step 3: Cross multiply
    142,483.99x = 196,633.70 × 78,820.69
  4. Step 4: Simplify right side
    142,483.99x = 15,498,803,911.25
  5. Step 5: Solve for x
    x = 15,498,803,911.25/142,483.99
  6. Step 6: Final answer
    x = 108,775.76

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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.