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Finding the Fourth Proportional to 76,238.60, 105,206.18 and 42,247.60

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Solution

The fourth proportional to 76,238.60, 105,206.18 and 42,247.60 is: 58,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.60 : 105,206.18 = 42,247.60 : x
  2. Step 2: Convert to fraction form
    76,238.60/105,206.18 = 42,247.60/x
  3. Step 3: Cross multiply
    76,238.60x = 105,206.18 × 42,247.60
  4. Step 4: Simplify right side
    76,238.60x = 4,444,708,610.17
  5. Step 5: Solve for x
    x = 4,444,708,610.17/76,238.60
  6. Step 6: Final answer
    x = 58,299.98

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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.