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Finding the Fourth Proportional to 105,507.35, 145,611.84 and 60,196.50

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Solution

The fourth proportional to 105,507.35, 145,611.84 and 60,196.50 is: 83,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507.35 : 145,611.84 = 60,196.50 : x
  2. Step 2: Convert to fraction form
    105,507.35/145,611.84 = 60,196.50/x
  3. Step 3: Cross multiply
    105,507.35x = 145,611.84 × 60,196.50
  4. Step 4: Simplify right side
    105,507.35x = 8,765,323,126.56
  5. Step 5: Solve for x
    x = 8,765,323,126.56/105,507.35
  6. Step 6: Final answer
    x = 83,077.84

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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.