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Finding the Fourth Proportional to 142,777.65, 214,263.36 and 76,265.49

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Solution

The fourth proportional to 142,777.65, 214,263.36 and 76,265.49 is: 114,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,777.65 : 214,263.36 = 76,265.49 : x
  2. Step 2: Convert to fraction form
    142,777.65/214,263.36 = 76,265.49/x
  3. Step 3: Cross multiply
    142,777.65x = 214,263.36 × 76,265.49
  4. Step 4: Simplify right side
    142,777.65x = 16,340,900,139.45
  5. Step 5: Solve for x
    x = 16,340,900,139.45/142,777.65
  6. Step 6: Final answer
    x = 114,449.99

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