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Finding the Fourth Proportional to 105,165.54, 145,122.03 and 57,416.04

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Solution

The fourth proportional to 105,165.54, 145,122.03 and 57,416.04 is: 79,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.54 : 145,122.03 = 57,416.04 : x
  2. Step 2: Convert to fraction form
    105,165.54/145,122.03 = 57,416.04/x
  3. Step 3: Cross multiply
    105,165.54x = 145,122.03 × 57,416.04
  4. Step 4: Simplify right side
    105,165.54x = 8,332,332,279.36
  5. Step 5: Solve for x
    x = 8,332,332,279.36/105,165.54
  6. Step 6: Final answer
    x = 79,230.63

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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.