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Finding the Fourth Proportional to 103,133.72, 142,292.57 and 57,805.42

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Solution

The fourth proportional to 103,133.72, 142,292.57 and 57,805.42 is: 79,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133.72 : 142,292.57 = 57,805.42 : x
  2. Step 2: Convert to fraction form
    103,133.72/142,292.57 = 57,805.42/x
  3. Step 3: Cross multiply
    103,133.72x = 142,292.57 × 57,805.42
  4. Step 4: Simplify right side
    103,133.72x = 8,225,281,771.73
  5. Step 5: Solve for x
    x = 8,225,281,771.73/103,133.72
  6. Step 6: Final answer
    x = 79,753.56

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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.