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Finding the Fourth Proportional to 76,178.16, 105,121.36 and 42,184.74

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Solution

The fourth proportional to 76,178.16, 105,121.36 and 42,184.74 is: 58,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.16 : 105,121.36 = 42,184.74 : x
  2. Step 2: Convert to fraction form
    76,178.16/105,121.36 = 42,184.74/x
  3. Step 3: Cross multiply
    76,178.16x = 105,121.36 × 42,184.74
  4. Step 4: Simplify right side
    76,178.16x = 4,434,517,240.05
  5. Step 5: Solve for x
    x = 4,434,517,240.05/76,178.16
  6. Step 6: Final answer
    x = 58,212.45

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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.