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Finding the Fourth Proportional to 105,137.98, 145,092.45 and 57,395.50

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Solution

The fourth proportional to 105,137.98, 145,092.45 and 57,395.50 is: 79,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.98 : 145,092.45 = 57,395.50 : x
  2. Step 2: Convert to fraction form
    105,137.98/145,092.45 = 57,395.50/x
  3. Step 3: Cross multiply
    105,137.98x = 145,092.45 × 57,395.50
  4. Step 4: Simplify right side
    105,137.98x = 8,327,653,713.98
  5. Step 5: Solve for x
    x = 8,327,653,713.98/105,137.98
  6. Step 6: Final answer
    x = 79,206.90

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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.