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Finding the Fourth Proportional to 105,209.30, 145,186.52 and 57,462.84

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Solution

The fourth proportional to 105,209.30, 145,186.52 and 57,462.84 is: 79,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,209.30 : 145,186.52 = 57,462.84 : x
  2. Step 2: Convert to fraction form
    105,209.30/145,186.52 = 57,462.84/x
  3. Step 3: Cross multiply
    105,209.30x = 145,186.52 × 57,462.84
  4. Step 4: Simplify right side
    105,209.30x = 8,342,829,768.92
  5. Step 5: Solve for x
    x = 8,342,829,768.92/105,209.30
  6. Step 6: Final answer
    x = 79,297.46

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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.