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Finding the Fourth Proportional to 105,572.72, 145,690.13 and 57,174.50

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Solution

The fourth proportional to 105,572.72, 145,690.13 and 57,174.50 is: 78,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,572.72 : 145,690.13 = 57,174.50 : x
  2. Step 2: Convert to fraction form
    105,572.72/145,690.13 = 57,174.50/x
  3. Step 3: Cross multiply
    105,572.72x = 145,690.13 × 57,174.50
  4. Step 4: Simplify right side
    105,572.72x = 8,329,759,609.23
  5. Step 5: Solve for x
    x = 8,329,759,609.23/105,572.72
  6. Step 6: Final answer
    x = 78,900.68

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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.