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Finding the Fourth Proportional to 105,173.42, 145,145.20 and 57,431.20

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Solution

The fourth proportional to 105,173.42, 145,145.20 and 57,431.20 is: 79,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,173.42 : 145,145.20 = 57,431.20 : x
  2. Step 2: Convert to fraction form
    105,173.42/145,145.20 = 57,431.20/x
  3. Step 3: Cross multiply
    105,173.42x = 145,145.20 × 57,431.20
  4. Step 4: Simplify right side
    105,173.42x = 8,335,863,010.24
  5. Step 5: Solve for x
    x = 8,335,863,010.24/105,173.42
  6. Step 6: Final answer
    x = 79,258.27

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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.