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Finding the Fourth Proportional to 105,091.30, 145,020.27 and 59,763.16

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Solution

The fourth proportional to 105,091.30, 145,020.27 and 59,763.16 is: 82,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,091.30 : 145,020.27 = 59,763.16 : x
  2. Step 2: Convert to fraction form
    105,091.30/145,020.27 = 59,763.16/x
  3. Step 3: Cross multiply
    105,091.30x = 145,020.27 × 59,763.16
  4. Step 4: Simplify right side
    105,091.30x = 8,666,869,599.25
  5. Step 5: Solve for x
    x = 8,666,869,599.25/105,091.30
  6. Step 6: Final answer
    x = 82,469.91

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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.