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Finding the Fourth Proportional to 105,513.46, 145,602.83 and 57,757.58

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Solution

The fourth proportional to 105,513.46, 145,602.83 and 57,757.58 is: 79,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.46 : 145,602.83 = 57,757.58 : x
  2. Step 2: Convert to fraction form
    105,513.46/145,602.83 = 57,757.58/x
  3. Step 3: Cross multiply
    105,513.46x = 145,602.83 × 57,757.58
  4. Step 4: Simplify right side
    105,513.46x = 8,409,667,101.95
  5. Step 5: Solve for x
    x = 8,409,667,101.95/105,513.46
  6. Step 6: Final answer
    x = 79,702.32

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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.