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Finding the Fourth Proportional to 105,103.11, 145,045.35 and 57,359.54

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Solution

The fourth proportional to 105,103.11, 145,045.35 and 57,359.54 is: 79,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.11 : 145,045.35 = 57,359.54 : x
  2. Step 2: Convert to fraction form
    105,103.11/145,045.35 = 57,359.54/x
  3. Step 3: Cross multiply
    105,103.11x = 145,045.35 × 57,359.54
  4. Step 4: Simplify right side
    105,103.11x = 8,319,733,829.91
  5. Step 5: Solve for x
    x = 8,319,733,829.91/105,103.11
  6. Step 6: Final answer
    x = 79,157.83

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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.