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Finding the Fourth Proportional to 105,143.34, 145,092.26 and 57,387.42

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Solution

The fourth proportional to 105,143.34, 145,092.26 and 57,387.42 is: 79,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,143.34 : 145,092.26 = 57,387.42 : x
  2. Step 2: Convert to fraction form
    105,143.34/145,092.26 = 57,387.42/x
  3. Step 3: Cross multiply
    105,143.34x = 145,092.26 × 57,387.42
  4. Step 4: Simplify right side
    105,143.34x = 8,326,470,463.37
  5. Step 5: Solve for x
    x = 8,326,470,463.37/105,143.34
  6. Step 6: Final answer
    x = 79,191.61

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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.