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Finding the Fourth Proportional to 105,170.34, 145,133.97 and 57,423.54

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Solution

The fourth proportional to 105,170.34, 145,133.97 and 57,423.54 is: 79,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.34 : 145,133.97 = 57,423.54 : x
  2. Step 2: Convert to fraction form
    105,170.34/145,133.97 = 57,423.54/x
  3. Step 3: Cross multiply
    105,170.34x = 145,133.97 × 57,423.54
  4. Step 4: Simplify right side
    105,170.34x = 8,334,106,331.65
  5. Step 5: Solve for x
    x = 8,334,106,331.65/105,170.34
  6. Step 6: Final answer
    x = 79,243.89

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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.