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Finding the Fourth Proportional to 76,216.50, 105,178.57 and 42,225.05

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Solution

The fourth proportional to 76,216.50, 105,178.57 and 42,225.05 is: 58,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,216.50 : 105,178.57 = 42,225.05 : x
  2. Step 2: Convert to fraction form
    76,216.50/105,178.57 = 42,225.05/x
  3. Step 3: Cross multiply
    76,216.50x = 105,178.57 × 42,225.05
  4. Step 4: Simplify right side
    76,216.50x = 4,441,170,534.56
  5. Step 5: Solve for x
    x = 4,441,170,534.56/76,216.50
  6. Step 6: Final answer
    x = 58,270.46

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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.