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Finding the Fourth Proportional to 102,198.98, 141,041.35 and 56,876.45

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Solution

The fourth proportional to 102,198.98, 141,041.35 and 56,876.45 is: 78,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.98 : 141,041.35 = 56,876.45 : x
  2. Step 2: Convert to fraction form
    102,198.98/141,041.35 = 56,876.45/x
  3. Step 3: Cross multiply
    102,198.98x = 141,041.35 × 56,876.45
  4. Step 4: Simplify right side
    102,198.98x = 8,021,930,657.10
  5. Step 5: Solve for x
    x = 8,021,930,657.10/102,198.98
  6. Step 6: Final answer
    x = 78,493.25

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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.