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Finding the Fourth Proportional to 105,738.49, 145,926.84 and 60,415.50

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Solution

The fourth proportional to 105,738.49, 145,926.84 and 60,415.50 is: 83,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738.49 : 145,926.84 = 60,415.50 : x
  2. Step 2: Convert to fraction form
    105,738.49/145,926.84 = 60,415.50/x
  3. Step 3: Cross multiply
    105,738.49x = 145,926.84 × 60,415.50
  4. Step 4: Simplify right side
    105,738.49x = 8,816,243,002.02
  5. Step 5: Solve for x
    x = 8,816,243,002.02/105,738.49
  6. Step 6: Final answer
    x = 83,377.80

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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.