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Finding the Fourth Proportional to 102,322.88, 141,192.72 and 56,989.44

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Solution

The fourth proportional to 102,322.88, 141,192.72 and 56,989.44 is: 78,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,322.88 : 141,192.72 = 56,989.44 : x
  2. Step 2: Convert to fraction form
    102,322.88/141,192.72 = 56,989.44/x
  3. Step 3: Cross multiply
    102,322.88x = 141,192.72 × 56,989.44
  4. Step 4: Simplify right side
    102,322.88x = 8,046,494,044.88
  5. Step 5: Solve for x
    x = 8,046,494,044.88/102,322.88
  6. Step 6: Final answer
    x = 78,638.27

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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.