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Finding the Fourth Proportional to 105,569.16, 145,679.22 and 57,813

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Solution

The fourth proportional to 105,569.16, 145,679.22 and 57,813 is: 79,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,569.16 : 145,679.22 = 57,813 : x
  2. Step 2: Convert to fraction form
    105,569.16/145,679.22 = 57,813/x
  3. Step 3: Cross multiply
    105,569.16x = 145,679.22 × 57,813
  4. Step 4: Simplify right side
    105,569.16x = 8,422,152,745.86
  5. Step 5: Solve for x
    x = 8,422,152,745.86/105,569.16
  6. Step 6: Final answer
    x = 79,778.53

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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.