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Finding the Fourth Proportional to 78,216.41, 107,834.22 and 62,137.07

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Solution

The fourth proportional to 78,216.41, 107,834.22 and 62,137.07 is: 85,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.41 : 107,834.22 = 62,137.07 : x
  2. Step 2: Convert to fraction form
    78,216.41/107,834.22 = 62,137.07/x
  3. Step 3: Cross multiply
    78,216.41x = 107,834.22 × 62,137.07
  4. Step 4: Simplify right side
    78,216.41x = 6,700,501,937.36
  5. Step 5: Solve for x
    x = 6,700,501,937.36/78,216.41
  6. Step 6: Final answer
    x = 85,666.20

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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.