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Finding the Fourth Proportional to 105,092.20, 145,024.50 and 57,346.12

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Solution

The fourth proportional to 105,092.20, 145,024.50 and 57,346.12 is: 79,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,092.20 : 145,024.50 = 57,346.12 : x
  2. Step 2: Convert to fraction form
    105,092.20/145,024.50 = 57,346.12/x
  3. Step 3: Cross multiply
    105,092.20x = 145,024.50 × 57,346.12
  4. Step 4: Simplify right side
    105,092.20x = 8,316,592,379.94
  5. Step 5: Solve for x
    x = 8,316,592,379.94/105,092.20
  6. Step 6: Final answer
    x = 79,136.15

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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.