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Finding the Fourth Proportional to 105,197.64, 145,166.32 and 57,441.28

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Solution

The fourth proportional to 105,197.64, 145,166.32 and 57,441.28 is: 79,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.64 : 145,166.32 = 57,441.28 : x
  2. Step 2: Convert to fraction form
    105,197.64/145,166.32 = 57,441.28/x
  3. Step 3: Cross multiply
    105,197.64x = 145,166.32 × 57,441.28
  4. Step 4: Simplify right side
    105,197.64x = 8,338,539,233.69
  5. Step 5: Solve for x
    x = 8,338,539,233.69/105,197.64
  6. Step 6: Final answer
    x = 79,265.46

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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.