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Finding the Fourth Proportional to 105,645.65, 145,791.18 and 57,897.99

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Solution

The fourth proportional to 105,645.65, 145,791.18 and 57,897.99 is: 79,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,645.65 : 145,791.18 = 57,897.99 : x
  2. Step 2: Convert to fraction form
    105,645.65/145,791.18 = 57,897.99/x
  3. Step 3: Cross multiply
    105,645.65x = 145,791.18 × 57,897.99
  4. Step 4: Simplify right side
    105,645.65x = 8,441,016,281.73
  5. Step 5: Solve for x
    x = 8,441,016,281.73/105,645.65
  6. Step 6: Final answer
    x = 79,899.33

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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.