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Finding the Fourth Proportional to 76,880.34, 115,316.41 and 54,298.20

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Solution

The fourth proportional to 76,880.34, 115,316.41 and 54,298.20 is: 81,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880.34 : 115,316.41 = 54,298.20 : x
  2. Step 2: Convert to fraction form
    76,880.34/115,316.41 = 54,298.20/x
  3. Step 3: Cross multiply
    76,880.34x = 115,316.41 × 54,298.20
  4. Step 4: Simplify right side
    76,880.34x = 6,261,473,243.31
  5. Step 5: Solve for x
    x = 6,261,473,243.31/76,880.34
  6. Step 6: Final answer
    x = 81,444.40

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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.