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Finding the Fourth Proportional to 77,701.96, 116,293.74 and 56,266.12

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Solution

The fourth proportional to 77,701.96, 116,293.74 and 56,266.12 is: 84,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,701.96 : 116,293.74 = 56,266.12 : x
  2. Step 2: Convert to fraction form
    77,701.96/116,293.74 = 56,266.12/x
  3. Step 3: Cross multiply
    77,701.96x = 116,293.74 × 56,266.12
  4. Step 4: Simplify right side
    77,701.96x = 6,543,397,530.09
  5. Step 5: Solve for x
    x = 6,543,397,530.09/77,701.96
  6. Step 6: Final answer
    x = 84,211.49

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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.