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Finding the Fourth Proportional to 76,198.40, 105,152.64 and 42,665.60

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Solution

The fourth proportional to 76,198.40, 105,152.64 and 42,665.60 is: 58,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198.40 : 105,152.64 = 42,665.60 : x
  2. Step 2: Convert to fraction form
    76,198.40/105,152.64 = 42,665.60/x
  3. Step 3: Cross multiply
    76,198.40x = 105,152.64 × 42,665.60
  4. Step 4: Simplify right side
    76,198.40x = 4,486,400,477.18
  5. Step 5: Solve for x
    x = 4,486,400,477.18/76,198.40
  6. Step 6: Final answer
    x = 58,877.88

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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.