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Finding the Fourth Proportional to 105,553.72, 145,664.36 and 57,156.18

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Solution

The fourth proportional to 105,553.72, 145,664.36 and 57,156.18 is: 78,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,553.72 : 145,664.36 = 57,156.18 : x
  2. Step 2: Convert to fraction form
    105,553.72/145,664.36 = 57,156.18/x
  3. Step 3: Cross multiply
    105,553.72x = 145,664.36 × 57,156.18
  4. Step 4: Simplify right side
    105,553.72x = 8,325,618,379.74
  5. Step 5: Solve for x
    x = 8,325,618,379.74/105,553.72
  6. Step 6: Final answer
    x = 78,875.65

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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.