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Finding the Fourth Proportional to 105,263.34, 145,265.31 and 57,518.70

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Solution

The fourth proportional to 105,263.34, 145,265.31 and 57,518.70 is: 79,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,263.34 : 145,265.31 = 57,518.70 : x
  2. Step 2: Convert to fraction form
    105,263.34/145,265.31 = 57,518.70/x
  3. Step 3: Cross multiply
    105,263.34x = 145,265.31 × 57,518.70
  4. Step 4: Simplify right side
    105,263.34x = 8,355,471,786.30
  5. Step 5: Solve for x
    x = 8,355,471,786.30/105,263.34
  6. Step 6: Final answer
    x = 79,376.84

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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.