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Finding the Fourth Proportional to 105,429.21, 145,515.65 and 72,769.47

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Solution

The fourth proportional to 105,429.21, 145,515.65 and 72,769.47 is: 100,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,429.21 : 145,515.65 = 72,769.47 : x
  2. Step 2: Convert to fraction form
    105,429.21/145,515.65 = 72,769.47/x
  3. Step 3: Cross multiply
    105,429.21x = 145,515.65 × 72,769.47
  4. Step 4: Simplify right side
    105,429.21x = 10,589,096,727.21
  5. Step 5: Solve for x
    x = 10,589,096,727.21/105,429.21
  6. Step 6: Final answer
    x = 100,437.98

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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.