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Finding the Fourth Proportional to 102,205.69, 141,047.90 and 56,885.58

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Solution

The fourth proportional to 102,205.69, 141,047.90 and 56,885.58 is: 78,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.69 : 141,047.90 = 56,885.58 : x
  2. Step 2: Convert to fraction form
    102,205.69/141,047.90 = 56,885.58/x
  3. Step 3: Cross multiply
    102,205.69x = 141,047.90 × 56,885.58
  4. Step 4: Simplify right side
    102,205.69x = 8,023,591,599.28
  5. Step 5: Solve for x
    x = 8,023,591,599.28/102,205.69
  6. Step 6: Final answer
    x = 78,504.35

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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.