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Finding the Fourth Proportional to 105,263.60, 145,213.02 and 76,538.70

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Solution

The fourth proportional to 105,263.60, 145,213.02 and 76,538.70 is: 105,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,263.60 : 145,213.02 = 76,538.70 : x
  2. Step 2: Convert to fraction form
    105,263.60/145,213.02 = 76,538.70/x
  3. Step 3: Cross multiply
    105,263.60x = 145,213.02 × 76,538.70
  4. Step 4: Simplify right side
    105,263.60x = 11,114,415,773.87
  5. Step 5: Solve for x
    x = 11,114,415,773.87/105,263.60
  6. Step 6: Final answer
    x = 105,586.51

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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.