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Finding the Fourth Proportional to 105,072.89, 145,000.42 and 57,326.24

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Solution

The fourth proportional to 105,072.89, 145,000.42 and 57,326.24 is: 79,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.89 : 145,000.42 = 57,326.24 : x
  2. Step 2: Convert to fraction form
    105,072.89/145,000.42 = 57,326.24/x
  3. Step 3: Cross multiply
    105,072.89x = 145,000.42 × 57,326.24
  4. Step 4: Simplify right side
    105,072.89x = 8,312,328,877.02
  5. Step 5: Solve for x
    x = 8,312,328,877.02/105,072.89
  6. Step 6: Final answer
    x = 79,110.12

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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.