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Finding the Fourth Proportional to 102,133.74, 140,944.56 and 57,421.74

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Solution

The fourth proportional to 102,133.74, 140,944.56 and 57,421.74 is: 79,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.74 : 140,944.56 = 57,421.74 : x
  2. Step 2: Convert to fraction form
    102,133.74/140,944.56 = 57,421.74/x
  3. Step 3: Cross multiply
    102,133.74x = 140,944.56 × 57,421.74
  4. Step 4: Simplify right side
    102,133.74x = 8,093,281,878.73
  5. Step 5: Solve for x
    x = 8,093,281,878.73/102,133.74
  6. Step 6: Final answer
    x = 79,242.00

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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.