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Finding the Fourth Proportional to 102,216.40, 141,041.80 and 56,893.22

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Solution

The fourth proportional to 102,216.40, 141,041.80 and 56,893.22 is: 78,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.40 : 141,041.80 = 56,893.22 : x
  2. Step 2: Convert to fraction form
    102,216.40/141,041.80 = 56,893.22/x
  3. Step 3: Cross multiply
    102,216.40x = 141,041.80 × 56,893.22
  4. Step 4: Simplify right side
    102,216.40x = 8,024,321,309.15
  5. Step 5: Solve for x
    x = 8,024,321,309.15/102,216.40
  6. Step 6: Final answer
    x = 78,503.27

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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.