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Finding the Fourth Proportional to 105,221.42, 145,205.40 and 57,474.78

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Solution

The fourth proportional to 105,221.42, 145,205.40 and 57,474.78 is: 79,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221.42 : 145,205.40 = 57,474.78 : x
  2. Step 2: Convert to fraction form
    105,221.42/145,205.40 = 57,474.78/x
  3. Step 3: Cross multiply
    105,221.42x = 145,205.40 × 57,474.78
  4. Step 4: Simplify right side
    105,221.42x = 8,345,648,419.81
  5. Step 5: Solve for x
    x = 8,345,648,419.81/105,221.42
  6. Step 6: Final answer
    x = 79,315.11

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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.